Buggy python submission (verdict: Time Limit Exceeded):
import sys

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import fractions
from functools import reduce
from functools import lru_cache

@lru_cache(maxsize=None)
def calc_gcd(a, b):
    return fractions.gcd(a, b)

def gcd_list(numbers):
    if len(numbers) == 0: return None
    elif len(numbers) == 1: return numbers[0]
    else: return reduce(calc_gcd, numbers)

left_gcd = [gcd_list(A_li[:i]) for i in range(len(A_li))]
right_gcd = [gcd_list(list(reversed(A_li[i+1:]))) for i in range(len(A_li))]

print(max([right_gcd[0]]+[calc_gcd(left_gcd[i], right_gcd[i]) for i in range(1,len(A_li)-1)]+[left_gcd[N-1]]))


Fixed submission:
import sys
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import fractions
from functools import reduce
from functools import lru_cache

@lru_cache(maxsize=None)
def calc_gcd(a, b):
    return fractions.gcd(a, b)

def gcd_list(numbers):
    if len(numbers) == 0: return None
    elif len(numbers) == 1: return numbers[0]
    else: return reduce(calc_gcd, numbers)

left_gcd = [None,A_li[0]]
prev_gcd = A_li[0]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[i])
    left_gcd.append(prev_gcd)

right_gcd = [None, A_li[N-1]]
prev_gcd = A_li[N-1]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[N-1-i])
    right_gcd.append(prev_gcd)
right_gcd.reverse()

print(max([right_gcd[0]]+[calc_gcd(left_gcd[i], right_gcd[i]) for i in range(1,len(A_li)-1)]+[left_gcd[N-1]]))

Buggy python submission (verdict: Time Limit Exceeded):
import sys

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import fractions
from functools import reduce
from functools import lru_cache

@lru_cache(maxsize=None)
def calc_gcd(a, b):
    return fractions.gcd(a, b)

def gcd_list(numbers):
    return reduce(calc_gcd, numbers)

print( max([gcd_list(A_li[:i]+A_li[i+1:]) for i in range(len(A_li))]) )


Fixed submission:
import sys
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import fractions
from functools import reduce
from functools import lru_cache

@lru_cache(maxsize=None)
def calc_gcd(a, b):
    return fractions.gcd(a, b)

def gcd_list(numbers):
    if len(numbers) == 0: return None
    elif len(numbers) == 1: return numbers[0]
    else: return reduce(calc_gcd, numbers)

left_gcd = [None,A_li[0]]
prev_gcd = A_li[0]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[i])
    left_gcd.append(prev_gcd)

right_gcd = [None, A_li[N-1]]
prev_gcd = A_li[N-1]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[N-1-i])
    right_gcd.append(prev_gcd)
right_gcd.reverse()

print(max([right_gcd[0]]+[calc_gcd(left_gcd[i], right_gcd[i]) for i in range(1,len(A_li)-1)]+[left_gcd[N-1]]))

Buggy python submission (verdict: Time Limit Exceeded):
import sys

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import fractions
from functools import reduce

def gcd_list(numbers):
    return reduce(fractions.gcd, numbers)

print( max([gcd_list(A_li[:i]+A_li[i+1:]) for i in range(len(A_li))]) )


Fixed submission:
import sys
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import fractions
from functools import reduce
from functools import lru_cache

@lru_cache(maxsize=None)
def calc_gcd(a, b):
    return fractions.gcd(a, b)

def gcd_list(numbers):
    if len(numbers) == 0: return None
    elif len(numbers) == 1: return numbers[0]
    else: return reduce(calc_gcd, numbers)

left_gcd = [None,A_li[0]]
prev_gcd = A_li[0]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[i])
    left_gcd.append(prev_gcd)

right_gcd = [None, A_li[N-1]]
prev_gcd = A_li[N-1]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[N-1-i])
    right_gcd.append(prev_gcd)
right_gcd.reverse()

print(max([right_gcd[0]]+[calc_gcd(left_gcd[i], right_gcd[i]) for i in range(1,len(A_li)-1)]+[left_gcd[N-1]]))

Buggy python submission (verdict: Runtime Error):
import sys

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import math
from functools import reduce

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

print( max([gcd_list(A_li[:i]+A_li[i+1:]) for i in range(len(A_li))]) )


Fixed submission:
import sys
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def II(): return int(sys.stdin.readline())

N = II()
A_li = LI()

import fractions
from functools import reduce
from functools import lru_cache

@lru_cache(maxsize=None)
def calc_gcd(a, b):
    return fractions.gcd(a, b)

def gcd_list(numbers):
    if len(numbers) == 0: return None
    elif len(numbers) == 1: return numbers[0]
    else: return reduce(calc_gcd, numbers)

left_gcd = [None,A_li[0]]
prev_gcd = A_li[0]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[i])
    left_gcd.append(prev_gcd)

right_gcd = [None, A_li[N-1]]
prev_gcd = A_li[N-1]
for i in range(1,N-1):
    prev_gcd = calc_gcd(prev_gcd, A_li[N-1-i])
    right_gcd.append(prev_gcd)
right_gcd.reverse()

print(max([right_gcd[0]]+[calc_gcd(left_gcd[i], right_gcd[i]) for i in range(1,len(A_li)-1)]+[left_gcd[N-1]]))