Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
l=list(map(int,input().split()))
gcds=[]

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

for i in range(len(l)):
    omitlist=list(l)
    omitlist.pop(i)
    n=len(omitlist)

    if n==1:
        gcds.append(omitlist[0])
    else:
        element = gcd(omitlist[0], omitlist[1])
        if n==2:
            gcds.append(element)
        else:
            for i in range(2,n):
                element=gcd(element,omitlist[i])
            gcds.append(element)

print(max(gcds))

Fixed submission:
n=int(input())
left=list(map(int,input().split()))
right=list(left)
right.reverse()
gcds=[]
gcdleft=[]
gcdright=[]

gcdleft.append(left[0])
gcdright.append(right[0])

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

if n==2:
    gcds.append(gcdleft[0])
    gcds.append(gcdright[0])
else:
    for i in range(1,n-1):
        gcdleft.append(gcd(gcdleft[i-1],left[i]))
        gcdright.append(gcd(gcdright[i-1],right[i]))
    gcds.append(gcdright[-1])
    for i in range(0,n-2):
    	gcds.append(gcd(gcdleft[i],gcdright[n-3-i]))
    gcds.append(gcdleft[-1])

print(max(gcds))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
l=list(map(int,input().split()))
gcds=[]

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

for i in range(len(l)):
    omitlist=[l[k] for k in range(len(l))]
    omitlist.pop(i)
    n=len(omitlist)

    if n==1:
        gcds.append(omitlist[0])
    else:
        element = gcd(omitlist[0], omitlist[1])
        if n==2:
            gcds.append(element)
        else:
            for i in range(2,n):
                element=gcd(element,omitlist[i])
            gcds.append(element)

print(max(gcds))

Fixed submission:
n=int(input())
left=list(map(int,input().split()))
right=list(left)
right.reverse()
gcds=[]
gcdleft=[]
gcdright=[]

gcdleft.append(left[0])
gcdright.append(right[0])

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

if n==2:
    gcds.append(gcdleft[0])
    gcds.append(gcdright[0])
else:
    for i in range(1,n-1):
        gcdleft.append(gcd(gcdleft[i-1],left[i]))
        gcdright.append(gcd(gcdright[i-1],right[i]))
    gcds.append(gcdright[-1])
    for i in range(0,n-2):
    	gcds.append(gcd(gcdleft[i],gcdright[n-3-i]))
    gcds.append(gcdleft[-1])

print(max(gcds))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
l=list(map(int,input().split()))
gcds=[]

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

for i in range(len(l)):
    omitlist=[l[k] for k in range(len(l))]
    omitlist.pop(i)
    n=len(omitlist)

    if n==1:
        gcds.append(omitlist[0])
    else:
        element = gcd(omitlist[0], omitlist[1])
        if n==2:
            gcds.append(element)
        else:
            for i in range(2,n):
                element=gcd(element,omitlist[i])
            gcds.append(element)

print(max(gcds))

Fixed submission:
n=int(input())
left=list(map(int,input().split()))
right=list(left)
right.reverse()
gcds=[]
gcdleft=[]
gcdright=[]

gcdleft.append(left[0])
gcdright.append(right[0])

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

if n==2:
    gcds.append(gcdleft[0])
    gcds.append(gcdright[0])
else:
    for i in range(1,n-1):
        gcdleft.append(gcd(gcdleft[i-1],left[i]))
        gcdright.append(gcd(gcdright[i-1],right[i]))
    gcds.append(gcdright[-1])
    for i in range(0,n-2):
    	gcds.append(gcd(gcdleft[i],gcdright[n-3-i]))
    gcds.append(gcdleft[-1])

print(max(gcds))