qyliang/CodeNanoFix huggingface dataset:
Buggy code:
def gcd(a,b):
  if b == 0:return 1
  return gcd(b,a%b)

N=int(input())
T=[]
for i in range(N):
  t = int(input())
  T.append(t)
  if i == 0:continue
  elif i == 1:
    lcm = T[-2]*T[-1]//gcd(T[-2],T[-1])
  else:
    lcm = lcm * T[-1]//gcd(lcm,T[-1])

print(lcm)

Fixed code:
def gcd(a,b):
  if b == 0:return a
  return gcd(b,a%b)

N=int(input())
T=[]
if N==1:
  print(input())
  exit()
for i in range(N):
  t = int(input())
  T.append(t)
  if i == 0:continue
  elif i == 1:
    lcm = T[-2]*T[-1]//gcd(T[-2],T[-1])
  else:
    lcm = lcm * T[-1]//gcd(lcm,T[-1])

print(lcm)
Buggy code:
def gcd(x,y):
    if x < y:
        (x,y) = (y,x)
    while y > 0:
        r = x % y
        x = y
        y = r
    return x


n = int(input())
list_t = []
for i in range(n):
    list_t.append(int(input()))
g = list_t[0]
l = list_t[0]
for i in range(n):
    g = gcd(g,list_t[i])
    l = (l*list_t[i]) // g
print(l)


Fixed code:
def gcd(x,y):
    if x < y:
        (x,y) = (y,x)
    while y > 0:
        r = x % y
        x = y
        y = r
    return x


n = int(input())
list_t = []
for i in range(n):
    list_t.append(int(input()))
g = list_t[0]
l = list_t[0]
for i in range(1,n):
    g = gcd(l,list_t[i])
    l = (l*list_t[i]) // g

print(l)
Buggy code:
N = int(input())
T = [int(input()) for i in range(N)]

def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

def lcm(a, b):
    return a * b / gcd(a, b)

now = lcm(T[0], T[1])
for i in range(1, N):
    now = lcm(now, T[i])

print(now)


Fixed code:
N = int(input())
T = [int(input()) for i in range(N)]


def gcd(a, b):
    while b:
        a, b = b, a % b
    return a


def lcm(a, b):
    return a * b // gcd(a, b)


if N == 1:
    print(T[0])
    exit()

now = lcm(T[0], T[1])
for i in range(1, N):
    now = lcm(now, T[i])

print(now)
Buggy code:
cl = [int(input()) for i in range(int(input()))]
ans = 1

def gcd(a, b):
	while b:
		a, b = b, a % b
	return a

def lcm(a, b):
	return a * b // gcd (a, b)

for i in cl:
    ans = lcm(ans,i)
    print(ans)

print(ans)


Fixed code:
cl = [int(input()) for i in range(int(input()))]
ans = 1

def gcd(a, b):
	while b:
		a, b = b, a % b
	return a

def lcm(a, b):
	return a * b // gcd (a, b)

for i in cl:
    ans = lcm(ans,i)

print(ans)
Buggy code:
N = int(input())

a_list = []
for _ in range(N):
    a_list.append(int(input())

def gcd(a, b):
    if a < b:
        a, b = b, a
    if b == 0:
        return a
    c = a % b
    return gcd(b, c)

res = 1
for i in range(N):
    d = gcd(res, a_list[i])
    res = res // d
    res = res * a_list[i]

print(res) 
 

Fixed code:
N = int(input())
 
a_list = []
for _ in range(N):
    a_list.append(int(input()))
 
def gcd(a, b):
    if a < b:
        a, b = b, a
    if b == 0:
        return a
    c = a % b
    return gcd(b, c)
 
res = 1
for i in range(N):
    d = gcd(res, a_list[i])
    res = res // d
    res = res * a_list[i]
 
print(res)
Buggy code:
import sys
import fractions
sys.setrecursionlimit(200000000)

N = int(input())
NUMS = [int(input()) for _ in range(N)]
NUMS = list(set(NUMS))

def gcd(num1, num2):
    if num2 == 0:
        return num1
    else:
        return gcd(num2, num1 % num2)


res = NUMS[0]
for num in NUMS[1:]:
    res = res * num / max(fractions.gcd(res, num), 1)

print(int(res))

Fixed code:
import sys
import fractions
sys.setrecursionlimit(200000000)

N = int(input())
NUMS = [int(input()) for _ in range(N)]
NUMS = list(set(NUMS))

def gcd(num1, num2):
    if num2 == 0:
        return num1
    else:
        return gcd(num2, num1 % num2)


res = NUMS[0]
for num in NUMS[1:]:
    res = res * num // gcd(res, num)

print(int(res))
Buggy code:
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,queue,copy

sys.setrecursionlimit(10**7)
inf=10**20
mod=10**9+7
dd=[(-1,0),(0,1),(1,0),(0,-1)]
ddn=[(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS(): return sys.stdin.readline().split()
def S(): return input()

# GCD -- START --
def gcd(x,y):
  while y:
    x,y=y,x%y
  return x
# GCD --- END ---

# LCM -- START --
def lcm(x,y):
  return x*y/gcd(x,y)
# LCM --- END ---

def main():
  n=I()
  l=[I() for _ in range(n)]
  l.sort()
  a=l[0]

  for x in l[1:]:
    b=[a,x]
    b.sort()

    if b[1]%b[0]==0:
      a=b[1]
    else:
      a=0

  return a

# main()
print(main())


Fixed code:
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,queue,copy

sys.setrecursionlimit(10**7)
inf=10**20
mod=10**9+7
dd=[(-1,0),(0,1),(1,0),(0,-1)]
ddn=[(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS(): return sys.stdin.readline().split()
def S(): return input()

# GCD -- START --
def gcd(x,y):
  while y:
    x,y=y,x%y
  return x
# GCD --- END ---

# LCM -- START --
def lcm(x,y):
  return x*y//gcd(x,y)
# LCM --- END ---

def main():
  n=I()
  ans=I()

  for _ in range(n-1):
    ans=lcm(ans,I())

  return ans

# main()
print(main())
Buggy code:
import sys
import math
if N == 1:
	print(T[0])
	sys.exit()
def GCD(a,b):
	if b == 0:
		return a
	return GCD(b,a%b)

N = int(input())
T = [int(input()) for _ in range(N)]

def SKS(a,b):
	return (a*b)//GCD(a,b)

for i in range(1,N):
	if i == 1:
		temp = SKS(T[0], T[1])
		continue

	temp = SKS(temp, T[i])

print(temp)

Fixed code:
import sys
import math

def GCD(a,b):
	if b == 0:
		return a
	return GCD(b,a%b)

N = int(input())
T = [int(input()) for _ in range(N)]
if N == 1:
	print(T[0])
	sys.exit()
def SKS(a,b):
	return (a*b)//GCD(a,b)

for i in range(1,N):
	if i == 1:
		temp = SKS(T[0], T[1])
		continue

	temp = SKS(temp, T[i])

print(temp)
Buggy code:
import fractions


def GCD(a, b):
    if b == 0:
        return a
    else:
        GCD(b, a % b)


N = int(input())
clock = [0]*N
gcd = int(input())
clock[0] = gcd
ans = clock[0]
for i in range(1, N):
    clock[i] = int(input())
    gcd = GCD(ans, clock[i])
    ans /= gcd
    ans *= clock[i]

print(int(ans))


Fixed code:
import fractions


def GCD(a, b):
    if b == 0:
        return a
    else:
        return GCD(b, a % b)


N = int(input())
clock = [0] * N
for j in range(N):
    clock[j] = int(input())
gcd = clock[0]

ans = clock[0]
for i in range(1, N):
    gcd = GCD(ans, clock[i])
    ans = ans//gcd
    ans = ans * clock[i]

print(int(ans))
Buggy code:
n = int(input())
ans = int(input())
 
def gcd(a,b):
    while b:
        a,b = b,a%b
    return a
 
def lcm(x,y):
    return (x*y//gcd(x,y))
 
for i in range(N-1):
    t = int(input())
    ans = lcm(ans,t)
print(ans)

Fixed code:
n = int(input())
ans = int(input())
 
def gcd(a,b):
    while b:
        a,b = b,a%b
    return a
 
def lcm(x,y):
    return (x*y//gcd(x,y))
 
for i in range(n-1):
    t = int(input())
    ans = lcm(ans,t)
print(ans)
Buggy code:
def gcd(x,y):
    if x<y:
        x,y = y,x
    while y>0:
        x,y = y,x%y
    return x
N = int(input())
T = list(set([int(input()) for _ in range(N)]))
a = T[0]
for i in range(1,len(T)):
    a = gcd(T[i],a)
t = a
for i in range(len(T)):
    t *= T[i]//a
print(t)

Fixed code:
def gcd(x,y):
    if x<y:
        x,y = y,x
    while y>0:
        x,y = y,x%y
    return x
N = int(input())
T = list(set([int(input()) for _ in range(N)]))
t = 1
b = T[0]
for i in range(1,len(T)):
    a = gcd(T[i],b)
    b = a*(T[i]//a)*(b//a)
print(b)
Buggy code:
def gcd(x, y):
	if x < y:
		x, y = y, x
	if y == 0:
		return x
	z = x % y
	return gcd(y, z) 
	
N=int(input())
prenum = 1
for i in range(N):
	T = int(input())
	lcm = prenum / gcd(prenum, T) * T
	prenum = lcm
print(str(lcm))

Fixed code:
def gcd(x, y):
	if x < y:
		x, y = y, x
	if y == 0:
		return x
	z = x % y
	return gcd(y, z) 
	
N=int(input())
prenum = 1
for i in range(N):
	T = int(input())
	lcm = prenum // gcd(prenum, T) * T
	prenum = lcm
print(lcm)
Buggy code:
def main():
    N = int(input().strip())
    res = int(input().strip())
    if N == 1:
        print(res)
        return
    for _ in range(1, N):
        t = int(input().strip())
        res = lcm(res, t)
    print(res)


def lcm(a, b):
    return (a * b) / gcd(a, b)


def gcd(a, b):
    if b == 0:
        return a
    if b == 1:
        return 1
    if b > a:
        return gcd(b, a)
    else:
        return gcd(b, a % b)

if __name__ == '__main__':
    main()


Fixed code:
def main():
    N = int(input().strip())
    res = int(input().strip())
    if N == 1:
        print(res)
        return
    for _ in range(1, N):
        t = int(input().strip())
        res = lcm(res, t)
    print(res)


def lcm(a, b):
    return (a * b) // gcd(a, b)


def gcd(a, b):
    if b == 0:
        return a
    if b == 1:
        return 1
    if b > a:
        return gcd(b, a)
    else:
        return gcd(b, a % b)

if __name__ == '__main__':
    main()
Buggy code:

N = int(input())
T = []
for i in range(N):
    T.append(int(input()))

if N==1:
    f2 = T[0]

elif N==2:
    import math
    a,b = T[0], T[1]
    f=math.gcd(a,b)
    f2=a*b//f

else:
    for i in range(2,N):
        a,b=f2, T[i]
        f=math.gcd(a,b)
        f2=a*b//f

print(f2)


Fixed code:

N = int(input())
T = []
for i in range(N):
    T.append(int(input()))
# print('T:',T)

if N==1:
    f2 = T[0]

elif N==2:
    import math
    a,b = T[0], T[1]
    f=math.gcd(a,b)
    f2=a*b//f

else:
    import math
    a,b = T[0], T[1]
    f=math.gcd(a,b)
    f2=a*b//f
    for i in range(2,N):
        a,b=f2, T[i]
        f=math.gcd(a,b)
        f2=a*b//f

print(f2)
Buggy code:
import math
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a
def lcm(x, y):
    return (x * y) // gcd(x, y)
 
N = int(input())
T = [int(input()) for _ in range(N)]
if N == 1:
    print(T[0])
    exit()
 
ans = lcm(T[0] , T[1])

Fixed code:
import math
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a
def lcm(x, y):
    return (x * y) // gcd(x, y)

N = int(input())
T = [int(input()) for _ in range(N)]
if N == 1:
    print(T[0])
    exit()

ans = lcm(T[0] , T[1])
for i in range(2 , N):
    ans = lcm(T[i] , ans)
print(ans)
Buggy code:
import math
import functools
N = int(input())
T = []
for i in range(N):
  T.append(int(input()))
def gcd(A, B):
  while(True):
    if A and B:
      if A > B:
        A = A % B
      else:
        B = B % A
    else:
      return max(A, B)
 
def lcm(A, B):
  return (A * // gcd(A, B)) * b

print(functools.reduce(lcm, sorted(T, reverse=True)))

Fixed code:
import math
import functools
N = int(input())
T = []
for i in range(N):
  T.append(int(input()))
def gcd(A, B):
  while(True):
    if A and B:
      if A > B:
        A = A % B
      else:
        B = B % A
    else:
      return max(A, B)

def lcm(A, B):
  return (A // gcd(A, B)) * B

print(functools.reduce(lcm, sorted(T, reverse=True)))
Buggy code:
def gcd(a, b):
    if b == 0:
        return a
    
    return gcd(b, a % b)

def lcm(a, b):
    return a * b // math.gcd(a, b)

N = int(input())
T = []

for i in range(N):
    t = int(input())
    T.append(t)
    
ans = 1
for i in range(N):
    ans = lcm(ans, T[i])
    
print(ans)

Fixed code:
def gcd(a, b):
    if b == 0:
        return a
    
    return gcd(b, a % b)

def lcm(a, b):
    return a * b // gcd(a, b)

N = int(input())
T = []

for i in range(N):
    t = int(input())
    T.append(t)
    
ans = 1
for i in range(N):
    ans = lcm(ans, T[i])
    
print(ans)
Buggy code:
def gcd(a,b): return a if b==0 else gcd(b,a%b)
def lcm(a,b): return a*b//gcd(a,b)
n=int(input())
ans=1
for i in range(n):
    t=int(input())
    print(t)
    ans=lcm(ans,t)
print(ans)

Fixed code:
def gcd(a,b): return a if b==0 else gcd(b,a%b)
def lcm(a,b): return a*b//gcd(a,b)
n=int(input())
ans=1
for i in range(n):
    t=int(input())
    ans=lcm(ans,t)
print(ans)
Buggy code:
n = int(input())
def gcd(a, b):
  if not b:
    return a
  else:
    return gcd(b, a % b)
def lcm(a, b):
  return a * b / gcd(a, b)
ans = 1
for _ in range(n):
  c = int(input())
  ans = lcm(ans, c)
print(ans)

Fixed code:
n = int(input())
def gcd(a, b):
  if not b:
    return a
  else:
    return gcd(b, a % b)
def lcm(a, b):
  return a * b // gcd(a, b)
ans = 1
for _ in range(n):
  c = int(input())
  ans = lcm(ans, c)
print(ans)
Buggy code:
n = int(input())
t = [int(input()) for _ in range(n)]


def gcd(x,y):
  if y == 0:
    return x
  return gcd(y, x % y)


ans = t[0]
for x in t[1:]:
  ans = ans * t[i] // gcd(ans, t[i])
print(ans)

Fixed code:
n = int(input())
t = [int(input()) for _ in range(n)]


def gcd(x,y):
  if y == 0:
    return x
  return gcd(y, x % y)


ans = t[0]
for x in t[1:]:
  ans = ans * x // gcd(ans, x)
print(ans)
Buggy code:
def fcd(a , b):
    if a>= b:
        while b != 0:
            a,b = b,a%b
        return a
    
    else:
        while a != 0:
            b,a = a,b%a
        return b
    
    
def lcm(a,b):
    return int(a*b/fcd(a , b))


n = int(input())
t_list = []
for i in range(n):
    t_list.append(int(input()))
    
    
for i in range(len(t_list)):
    if i == 0:
        continue
    elif i == 1:
        ans_list.append(lcm(t_list[0] , t_list[1]))
    
    else:
        ans_list.append(lcm(ans_list[i-2],t_list[i]))

Fixed code:
def fcd(a , b):
    
    if a>= b:
        while b != 0:
            a,b = b,a%b
        return a
    
    else:
        while a != 0:
            b,a = a,b%a
        return b
    
    
def lcm(a,b):
    return a*b//fcd(a , b)


n = int(input())
t_list = []
ans_list = []
for i in range(n):
    t_list.append(int(input()))
    
    
for i in range(len(t_list)):
    if i == 0:
        ans_list.append(t_list[0])
        continue
    if i == 1:
        ans_list.append(lcm(t_list[0] , t_list[1]))
    
    if i >=2:
        ans_list.append(lcm(ans_list[-1],t_list[i]))
print(ans_list[-1])
Buggy code:
N = int(input())
T = [int(input() for _ in range(N))]

def gcd(a,b):
    while b:
        a,b=b,a%b
    return b

def lcm(a,b):
    return a*b//gcd(a,b)

ans=1
for i in range(T):
    ans = lcm(ans,i)
    
print(ans)


Fixed code:
N = int(input())
T = [int(input()) for _ in range(N)]

def gcd(a,b):
    while b:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a*b//gcd(a,b)

ans=1
for i in T:
    ans = lcm(ans,i)

print(ans)
Buggy code:
#!/usr/bin/env python

from functools import reduce
import math

# GCD and LCM are not in math module.  They are in gmpy, but these are simple enough:

# def gcd(a,b):
#     """Compute the greatest common divisor of a and b"""
#     while b > 0:
#         a, b = b, a % b
#     return a
    
def lcm(a, b):
    """Compute the lowest common multiple of a and b"""
    return a * b / math.gcd(a, b)

N = int(input())
ts = []
for _ in range(N):
  T = int(input())
  ts.append(T)

print(int(reduce(lcm, ts)))


Fixed code:
#!/usr/bin/env python

from functools import reduce
import math

# GCD and LCM are not in math module.  They are in gmpy, but these are simple enough:

def gcd(a,b):
    """Compute the greatest common divisor of a and b"""
    while b > 0:
        a, b = b, a % b
    return a
    
def lcm(a, b):
    """Compute the lowest common multiple of a and b"""
    return a * b // gcd(a, b)

N = int(input())
ts = []
for _ in range(N):
  T = int(input())
  ts.append(T)

# print(reduce(lcm, ts))
ans = 1
for i in range(N):
  ans = lcm(ans, ts[i])
print(ans)
Buggy code:
def gcd(a, b):
    if(a == 0):
        return b
    return gcd(b % a, a)
def lcm(a, b):
    return a / (gcd(a, b) * b) 
t = int(input())
ans = 1
while(t != 0):
    t -= 1
    n = int(input())
    ans = lcm(ans, n)
print(int(ans))


Fixed code:
def gcd(a, b):
    if(a == 0):
        return b
    return gcd(b % a, a)
def lcm(a, b):
    return a // gcd(a, b) * b
t = int(input())
ans = 1
while(t != 0):
    t -= 1
    n = int(input())
    ans = lcm(ans, n)
print(int(ans))
Buggy code:
def gcd(a, b):
	if a == 0:
		return b
	return gcd(b % a, a)
n = int(input())
res = int(input())
while n > 1:
	x = int(input())
	res = (res * x) / gcd(res, x);
	n -= 1
print(res)

Fixed code:
def gcd(a, b):
	if a == 0:
		return b
	return gcd(b % a, a)
n = int(input())
res = int(input())
while n > 1:
	x = int(input())
	res = (res * x) // gcd(res, x);
	n -= 1
print(res)
Buggy code:
from functools import reduce

def gcd(a, b):
  if b == 0:
    return a
  return gcd(b, a % b)

def lcm(a, b):
  return a * b // gcd(a, b)

n = int(input())
t = [int(input()) for i in range(n)]

x = reduce(t, lcm)

print(x)



Fixed code:
from functools import reduce

def gcd(a, b):
  if b == 0:
    return a
  return gcd(b, a%b)

def lcm(a, b):
  return a * b // gcd(a, b)

n = int(input())
t = [int(input()) for i in range(n)]

ans = reduce(lcm, t)
print(ans)
Buggy code:
N = int(input())

def gcd(x, y):
  if y == 0:
    return x
  else:
    return gcd(y, x % y)

g = 1
for x in (int(input()) for _ in range(N)):
  g = g * x / gcd(g, x)
print(g)


Fixed code:
N = int(input())

def gcd(x, y):
  if y == 0:
    return x
  else:
    return gcd(y, x % y)

g = 1
for x in (int(input()) for _ in range(N)):
  g = g * x // gcd(g, x)
print(g)
Buggy code:
def gcd(a,b):
    while b:
        a, b = b, a % b
    return max(a,b)

def lcd(a,b):
    return a * b / gcd(a,b)


n = int(input())
t = [int(input()) for i in range(n)]
ans = 1
for i in t:
    ans = lcd(i, ans)
print(ans)

Fixed code:
def gcd(a,b):
    while b:
        a, b = b, a % b
    return a

def lcd(a,b):
    return a * b // gcd(a,b)

n = int(input())
t = [int(input()) for i in range(n)]
ans = 1
for i in t:
    ans = lcd(ans, i)
print(int(ans))
Buggy code:
def main():
    N = int(input())
    T = []
    for _ in range(N):
        T.append(int(input()))

    if N == 1: return T[0]

    g = T[0]
    for t in T[1:]:
        g = gcd(t, g)
    ans = g
    for t in T:
        ans *= t//g
    return ans



def gcd(a, b):
    if a > b:
        a, b = b, a
    if a == 0: return b
    else: return gcd(b%a, a)




if __name__ == '__main__':
    print(main())


Fixed code:
def main():
    N = int(input())
    T = []
    for _ in range(N):
        T.append(int(input()))

    if N == 1: return T[0]

    g = T[0]
    ans = T[0]
    for t in T[1:]:
        gc = gcd(t, g)
        g = g*t//gc
    return g

def gcd(a, b):
    if a > b:
        a, b = b, a
    if a == 0: return b
    else: return gcd(b%a, a)




if __name__ == '__main__':
    print(main())
Buggy code:
import sys
import os
sys.setrecursionlimit(1000000000000000)

def lcm(x,y):
    return (x*y)//gcd(x,y)

def gcd(x,y):
    if y <= 0:
        return x
    else:
        return gcd(y,x%y)

N = int(input())
T = [int(input()) for _ in range(N)]
ans = lcm(T[0],T[1])
for i in range(2,N):
    ans = lcm(ans,T[i])
print(ans)


Fixed code:
import sys
import os
sys.setrecursionlimit(100000000)

def lcm(x,y):
    return (x*y)//gcd(x,y)

def gcd(x,y):
    if y <= 0:
        return x
    else:
        return gcd(y,x%y)

N = int(input())
T = [int(input()) for _ in range(N)]
if N == 1:
    print(T[0])
    sys.exit()

ans = lcm(T[0],T[1])
for i in range(2,N):
    ans = lcm(ans,T[i])
print(ans)
Buggy code:
#import math
N = int(input())
T = []
for i in range(N):
  T.append(int(input()))
# output LCM(T1,T2... Tn)=LCM(Tn,LCM(Tn-1,LCM(...)))
def gcd(a,b):
  mi = min(a,b)
  ma = max(a,b)
  ans = 1
  '''for i in range(2,mi+1):
    if (mi%i)+(ma%i) == 0:
      mi /= i
      ma /= i
      ans *= i
      i -= 1'''
  while True:
    print(ma,mi)
    if (ma % mi) == 0:
      ans = mi
      break
    else:
      mi = ma%mi
      ma = mi
      
  return ans



def lcm(a,b):
  #g = math.gcd(a,b)
  g = gcd(a,b)
  print(g)
  return int(a*b/g)
ans = T[0]
for i in range(1,len(T)):
  ans = lcm(ans,T[i])
print(ans)


Fixed code:
#import math
N = int(input())
T = []
for i in range(N):
  T.append(int(input()))
# output LCM(T1,T2... Tn)=LCM(Tn,LCM(Tn-1,LCM(...)))
def gcd(a,b): #Recusion!!
  if min(a,b) == 0:
    return max(a,b)
  else:
    return gcd(min(a,b),max(a,b)%min(a,b))
    
"""
  mi = min(a,b)
  ma = max(a,b)
  ans = 1
  '''for i in range(2,mi+1):
    if (mi%i)+(ma%i) == 0:
      mi /= i
      ma /= i
      ans *= i
      i -= 1'''
  while True:
    #print(ma,mi)
    if (ma % mi) == 0:
      ans = mi
      break
    else:
      mi = ma%mi
      ma = mi
      
  return ans"""


def lcm(a,b):
  #g = math.gcd(a,b)
  g = gcd(a,b)
  #print(g)
  return int(a*b//g)
ans = T[0]
for i in range(1,len(T)):
  ans = lcm(ans,T[i])
print(ans)
Buggy code:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return b

ans = 1
for _ in range(int(input())):
    t = int(input())
    ans = ans * t // gcd(ans, t)
print(ans)

Fixed code:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

ans = 1
for _ in range(int(input())):
    t = int(input())
    ans = ans * t // gcd(ans, t)
print(ans)
Buggy code:
N = int(input())
T = sorted([int(input()) for i in range(N)])

def gcd(a, b):
    while b != 0:
        a, b = b,a%b
    return a

if N == 1:
    print(T[0])
else:
    ans = gcd(T[0], T[1])
    for i in range(N):
        ans = gcd(ans, T[i])
    ans = (T[0]*T[N-1])//(ans)
    print(ans)

Fixed code:
N = int(input())
T = sorted([int(input()) for i in range(N)])

def gcd(a, b):
    while b != 0:
        a, b = b,a%b
    return a

if N == 1:
    print(T[0])
else:
    ans = T[0]
    for i in range(1, N):
        ans = (ans*T[i])//(gcd(ans, T[i]))
    
    print(ans)
Buggy code:
def gcd(a, b):
    while b > 0:
        tmp = a
        a = b
        b = tmp % b
    return a


def lcm(a, b):
    return a*b  #int((a * b) / gcd(a, b))


n = int(input())
t = [0 for i in range(n)]
for i in range(n):
    t[i] = int(input())
sum = t[0]
for i in range(1, n):
    # print("sum:{} t:{} lcm:{}".format(sum, t, lcm(sum, t)))
    sum = lcm(sum, t[i])
    # print(sum)
print(sum)


Fixed code:
def gcd(a, b):
    while b > 0:
        tmp = a
        a = b
        b = tmp % b
    return a


def lcm(a, b):
    tmp = gcd(a, b)
    return (a//tmp) * b


n = int(input())
t = [0 for i in range(n)]
for i in range(n):
    t[i] = int(input())
t = sorted(t)
_sum = t[0]
for i in range(1, n):
    # print("sum:{} t:{} lcm:{}".format(sum, t, lcm(sum, t)))
    _sum = lcm(_sum, t[i])
    # print(sum)
print(_sum)
Buggy code:
def gcd(a, b):
  m = max(a, b)
  n = max(a, b)
  if n==0:
    return m
  else:
    return gcd(n, m%n)

N = int(input())
l = 1
for i in range(N):
  t = int(input())
  g = gcd(l, t)
  l *= t//g
print(l)

Fixed code:
def gcd(a, b):
  m = max(a, b)
  n = min(a, b)
  if n==0:
    return m
  else:
    return gcd(n, m%n)
 
N = int(input())
l = 1
for i in range(N):
  t = int(input())
  g = gcd(l, t)
  l *= t//g
print(l)
Buggy code:
N = int(input())
t_list = [float(input()) for i in range(N)]

def gcd(a,b):
	while b:
		a,b = b, a%b
	return float(a)

a = t_list[0]
for c in range(N-1):
	b = t_list[c+1]
	a =a*b/gcd(a,b)

print(a)

Fixed code:
N = int(input())
t_list = [int(input()) for i in range(N)]

def gcd(a,b):
	while b:
		a,b = b, a%b
	return a

a = t_list[0]
for c in range(N-1):
	b = t_list[c+1]
	a =a*b//gcd(a,b)

print(a)
Buggy code:
import sys
sys.setrecursionlimit(10**18)
n=int(input())
t=[int(i) for i in sys.stdin]
def gcd(x,y):
  if y==0:
    return x
  return gcd(y,x%y)
x=t[0]
for i in range(1,n):
  y=x*t[i]//gcd(x,t[i])
  x=y
print(y)

Fixed code:
import sys
sys.setrecursionlimit(10**8)
n=int(input())
t=[int(i) for i in sys.stdin]
if n==1:
  print(t[0])
  exit()
def gcd(x,y):
  if y==0:
    return x
  return gcd(y,x%y)
x=t[0]
for i in range(1,n):
  y=x*t[i]//gcd(x,t[i])
  x=y
print(y)
Buggy code:
def gcd(a,b):
    if a<b:
        a,b = b,a
    if b==0:
        return a
    else:
        return gcd(b,a%b)

n = int(input())
li = [int(input()) for _ in range(n)]

ans = 1
for i in range(n):
    ans = gcd(ans,li[i])
print(ans)

Fixed code:
def gcd(a,b):
    if a<b:
        a,b = b,a
    if b==0:
        return a
    else:
        return gcd(b,a%b)

def lcm(a,b):
    return (a*b)//gcd(a,b)


n = int(input())
li = [int(input()) for _ in range(n)]

ans = 1
for i in range(n):
    ans = lcm(ans,li[i])
print(ans)