Problem p03061 (python)

Fixed submission:

n = int(input())

a = list(map(int, input().split()))
a.sort(reverse=True)


from functools import lru_cache
import sys
if n == 2:
    print(max(a))
    sys.exit()


@lru_cache(maxsize=100000)
def gcd(x, y):
    while y:
        x, y = y, x % y
    return x


def gcd_list(li):
    if len(li) == 1:
        return li[0]
    g = gcd(li[0], li[1])
    for i in range(2, len(li)):
        g = gcd(g, li[i])
    return g


def gcd_list_2(li):
    g = gcd(li[0], li[1])
    if g == 1:
        return max(gcd_list([li[0]] + li[2:]), gcd_list(li[1:]))
    for i in range(2, n):
        if gcd(g, li[i]) == 1:
            if i == n - 1:
                return gcd_list(li[:i])
            gg = gcd_list(li[i+1:])
            bb = [gcd(li[x], gg) for x in range(i+1)]
            bb.sort()
            return bb[1]
        else:
            g = gcd(g, li[i])
    return g


def max_gcd(a):
    g = gcd_list(a)
    a = [a[i]//g for i in range(n)]
    m = gcd_list_2(a)
    print(g * m)


max_gcd(a)

Buggy submission (verdict: Runtime Error):

n = int(input())
a = list(map(int, input().split()))


import sys
if n == 2:
    print(max(a))
    sys.exit()


def gcd(x, y):
    while y:
        x, y = y, x % y
    return x


g = a[0]
gcd_left = [g]
for i in range(n-1):
    g = gcd(g, a[i+1])
    gcd_left.append(g)

g = a[n-1]
gcd_right = [g]
for i in range(n-1):
    g = gcd(g, a[n-2-i])
    gcd_right.append(g)

max_gcd = gcd_right[n-1]
for i in range(1, n-1):
    max_gcd = max(max_gcd, gcd(gcd_left(i-1), gcd_right(n - 2 - i)))
max_gcd = max(max_gcd, gcd_left[n-1])

print(max_gcd)

Buggy submission (verdict: Runtime Error):

n = int(input())

a = list(map(int, input().split()))
a.sort()


from functools import lru_cache
import sys
if n == 2:
    print(max(a))
    sys.exit()


@lru_cache(maxsize=100000)
def gcd(x, y):
    while y:
        x, y = y, x % y
    return x


def gcd_list(li):
    if len(li) == 1:
        return li[0]
    g = gcd(li[0], li[1])
    for i in range(2, len(li)):
        g = gcd(g, li[i])
    return g


def gcd_list_2(li):
    g = gcd(li[0], li[1])
    if g == 1:
        return max(gcd_list([li[0]] + li[2:]), gcd_list(li[1:]))
    for i in range(2, n):
        if gcd(g, li[i]) == 1:
            gg = gcd_list(li[i+1:])
            bb = [gcd(li[x], gg) for x in range(i+1)]
            bb.sort()
            return bb[1]
        else:
            g = gcd(g, li[i])
    return g


def max_gcd(a):
    g = gcd_list(a)
    a = [a[i]//g for i in range(n)]
    m = gcd_list_2(a)
    print(g * m)


max_gcd(a)

Buggy submission (verdict: Runtime Error):

n = int(input())

a = list(map(int, input().split()))
a.sort()


from functools import lru_cache
import sys
if n == 2:
    print(max(a))
    sys.exit()


@lru_cache(maxsize=100000)
def gcd(x, y):
    while y:
        x, y = y, x % y
    return x


def gcd_list(li):
    g = gcd(li[0], li[1])
    for i in range(2, len(li)):
        g = gcd(g, li[i])
    return g


def gcd_list_2(li):
    g = gcd(li[0], li[1])
    if g == 1:
        return max(gcd_list([li[0]] + li[2:]), gcd_list(li[1:]))
    for i in range(2, n):
        if gcd(g, li[i]) == 1:
            return gcd_list([g] + li[i + 1:])
        else:
            g = gcd(g, li[i])
    return g


def max_gcd(a):
    g = gcd_list(a)
    a = [a[i]//g for i in range(n)]
    m = gcd_list_2(a)
    print(g * m)


max_gcd(a)

Buggy submission (verdict: Runtime Error):

n = int(input())

a = list(map(int, input().split()))
a.sort()


from functools import lru_cache
import sys
if n == 2:
    print(max(a))
    sys.exit()


@lru_cache(maxsize=100000)
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a


def gcd_list(li):
    g = gcd(li[0], li[1])
    for i in range(2, len(li)):
        g = gcd(g, a[i])
    return g


def gcd_list_2(li):
    g = gcd(li[0], li[1])
    if g == 1:
        return max(gcd_list([li[0]] + li[2:]), gcd_list(li[1:]))
    for i in range(2, n):
        if gcd(g, a[i]) == 1:
            return gcd_list([g] + li[i + 1:])
        else:
            g = gcd(g, a[i])
    return g


def max_gcd(a):
    g = gcd_list(a)
    a = [a[i]//g for i in range(n)]
    m = gcd_list_2(a)
    print(g * m)


max_gcd(a)

Buggy submission (verdict: Runtime Error):

n = int(input())

a = list(map(int, input().split()))
a.sort()


from functools import lru_cache
import sys
if n == 2:
    print(max(a))
    sys.exit()


@lru_cache(maxsize=100000)
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a


def gcd_list(li):
    g = gcd(li[0], li[1])
    for i in range(2, n):
        g = gcd(g, a[i])
    return g


def gcd_list_2(li):
    g = gcd(li[0], li[1])
    if g == 1:
        return max(gcd_list([li[0]] + li[2:]), gcd_list(li[1:]))
    for i in range(2, n):
        if gcd(g, a[i]) == 1:
            return gcd_list([g] + li[i + 1:])
        else:
            g = gcd(g, a[i])
    return g


def max_gcd(a):
    g = gcd_list(a)
    a = [a[i]//g for i in range(n)]

    m = gcd_list_2(a)
    print(g * m)


max_gcd(a)

Buggy submission (verdict: Runtime Error):

n = int(input())

a = list(map(int, input().split()))


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


def gcd_list(li):
    g = gcd(li[0], li[1])
    for i in range(2, n):
        g = gcd(g, a[i])
    return g


g = gcd_list(a)
a = [a[i]//g for i in range(n)]


m = 1
for i in range(n):
    b = a[:]
    del b[i]
    gg = gcd_list(b)
    m = max(m, gg)


print(g * m)

Buggy submission (verdict: Runtime Error):
n = int(input())

a = list(map(int, input().split()))

from fractions import gcd
from functools import reduce


def gcd(numbers):
    return reduce(gcd, numbers)


g = gcd(a)
a = [a[i]//g for i in range(n)]


m = 1
for i in range(n):
    b = a[:]
    del b[i]
    gg = gcd(b)
    m = max(m, gg)


print(g * m)

Buggy submission (verdict: Runtime Error):
n = int(input())

a = list(map(int, input().split()))

from fraction import gcd
from functools import reduce


def gcd(numbers):
    return reduce(gcd, numbers)


g = gcd(a)
a = [a[i]//g for i in range(n)]


m = 1
for i in range(n):
    b = a[:]
    del b[i]
    gg = gcd(b)
    m = max(m, gg)


print(g * m)

Buggy submission (verdict: Runtime Error):
n = int(input())

a = list(map(int, input().split()))

import math
from functools import reduce


def gcd(numbers):
    return reduce(math.gcd, numbers)


g = gcd(a)
a = [a[i]//g for i in range(n)]


m = 1
for i in range(n):
    b = a[:]
    del b[i]
    gg = gcd(b)
    m = max(m, gg)


print(g * m)