Buggy python submission (verdict: Time Limit Exceeded):

k=int(input())
ans=0

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

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a

sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        t=gcd(a,b)
        for c in range(1,k+1):
            ans+=gcd(t,c)
                
print(ans)

Fixed submission:
k=int(input())
ans=0
import math
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a

sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        t=math.gcd(a,b)
        for c in range(1,k+1):
            ans+=math.gcd(t,c)
                
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
k=int(input())
ans=0
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a
sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            lis=sorted([a,b,c])
            if lis in sumlis.values(): 
                ans+=sumlis[lis]
            else:
                x=gcdlist(lis)
                sumlis[x]=sumlis
                ans+=x
                
print(ans)

Fixed submission:
k=int(input())
ans=0
import math
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a

sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        t=math.gcd(a,b)
        for c in range(1,k+1):
            ans+=math.gcd(t,c)
                
print(ans)

Buggy python submission (verdict: Runtime Error):
k=int(input())
ans=0
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a
sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            lis=sorted([a,b,c])
            elif lis in sumlis.values(): 
                ans+=sumlis[lis]
            else:
                x=gcdlist(lis)
                sumlis[x]=sumlis
                ans+=x
                
print(ans)

Fixed submission:
k=int(input())
ans=0
import math
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a

sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        t=math.gcd(a,b)
        for c in range(1,k+1):
            ans+=math.gcd(t,c)
                
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
k=int(input())
ans=0
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a
sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            lis=sorted([a,b,c])
            if a==b==c:
                ans+=a
            elif a==1 or b==1 or c==1:
                ans+=1
            elif lis in sumlis.values(): 
                ans+=sumlis[lis]
            else:
                x=gcdlist(lis)
                sumlis[x]=sumlis
                ans+=x
                
print(ans)

Fixed submission:
k=int(input())
ans=0
import math
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a

sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        t=math.gcd(a,b)
        for c in range(1,k+1):
            ans+=math.gcd(t,c)
                
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
k=int(input())
ans=0
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a
gcdlis=[]
sumlis=[]
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            lis=sorted([a,b,c])
            if lis in sumlis: 
                ans+=gcdlis[sumlis.index(lis)]
                
            else:
                sumlis.append(lis)
                x=gcdlist(lis)
                gcdlis.append(x)
                ans+=x
                
print(ans)

Fixed submission:
k=int(input())
ans=0
import math
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a

sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        t=math.gcd(a,b)
        for c in range(1,k+1):
            ans+=math.gcd(t,c)
                
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
k=int(input())
ans=0
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a
gcdlis=[]
sumlis=[]
for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            lis=sorted([a,b,c])
            if lis in sumlis: 
                ans+=gcdlis[sumlis.index(lis)]
                
            else:
                sumlis.append(lis)
                x=gcdlist(lis)
                gcdlis.append(x)
                ans+=x
                
print(ans)

Fixed submission:
k=int(input())
ans=0
import math
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def gcdlist(l):
    a = l[0]
    for i in range(len(l)):
        a = gcd(a,l[i])
    return a

sumlis={}
for a in range(1,k+1):
    for b in range(1,k+1):
        t=math.gcd(a,b)
        for c in range(1,k+1):
            ans+=math.gcd(t,c)
                
print(ans)