Buggy python submission (verdict: Time Limit Exceeded):
import sys
# gcd
from fractions import gcd
# 切り上げ，切り捨て
# from math import ceil, floor
# リストの真のコピー（変更が伝播しない）
# from copy import deepcopy
# 累積和。list(accumulate(A))としてAの累積和
# from itertools import accumulate
# l = ['a', 'b', 'b', 'c', 'b', 'a', 'c', 'c', 'b', 'c', 'b', 'a']
# S = Counter(l)  # カウンタークラスが作られる。S=Counter({'b': 5, 'c': 4, 'a': 3})
# print(S.most_common(2))  # [('b', 5), ('c', 4)]
# print(S.keys())  # dict_keys(['a', 'b', 'c'])
# print(S.values())  # dict_values([3, 5, 4])
# print(S.items())  # dict_items([('a', 3), ('b', 5), ('c', 4)])
# from collections import Counter
# import math
# from functools import reduce
#
# input関係の定義
# fin = open('in_3.txt', 'r')
# sys.stdin = fin
input = sys.stdin.readline
def ii(): return int(input())
def mi(): return map(int, input().rstrip().split())
def lmi(): return list(map(int, input().rstrip().split()))
def li(): return list(input().rstrip())
# template


# a_k の値を x に更新
def update(k, x):
    k += N0-1
    data[k] = x
    while k >= 0:
        k = (k - 1) // 2
        data[k] = gcd(data[2 * k + 1], data[2 * k + 2])


# 区間[l, r)の最小値
def query(l, r):
    L = l + N0
    R = r + N0
    s = 0
    while L < R:
        if R & 1:
            R -= 1
            s = gcd(s, data[R-1])

        if L & 1:
            s = gcd(s, data[L-1])
            L += 1
        L >>= 1
        R >>= 1
    return s


def iterate_tokens():
    for line in sys.stdin:
        for word in line.split():
            yield word


if __name__ == '__main__':

    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    A = [int(next(tokens)) for _ in range(N)]  # type: "List[int]"

    # N: 処理する区間の長さ
    N0 = 2**(N-1).bit_length()
    INF = 2**31-1
    data = [0] * (2 * N0)

    # write code
    for num, i in enumerate(A):
        update(num, i)

    ans = 0
    for i in range(N):
        ans = max(ans, gcd(query(0, i), query(i + 1, N)))
    print(ans)


Fixed submission:
import sys
# gcd
from fractions import gcd
# 切り上げ，切り捨て
# from math import ceil, floor
# リストの真のコピー（変更が伝播しない）
# from copy import deepcopy
# 累積和。list(accumulate(A))としてAの累積和
from itertools import accumulate
# l = ['a', 'b', 'b', 'c', 'b', 'a', 'c', 'c', 'b', 'c', 'b', 'a']
# S = Counter(l)  # カウンタークラスが作られる。S=Counter({'b': 5, 'c': 4, 'a': 3})
# print(S.most_common(2))  # [('b', 5), ('c', 4)]
# print(S.keys())  # dict_keys(['a', 'b', 'c'])
# print(S.values())  # dict_values([3, 5, 4])
# print(S.items())  # dict_items([('a', 3), ('b', 5), ('c', 4)])
# from collections import Counter
# import math
# from functools import reduce
#
# input関係の定義
input = sys.stdin.readline
def ii(): return int(input())
def mi(): return map(int, input().rstrip().split())
def lmi(): return list(map(int, input().rstrip().split()))
def li(): return list(input().rstrip())
# template


N = ii()
A = lmi()
Leftgcd = list(accumulate(A, gcd))
Rightgcd = list(accumulate(reversed(A), gcd))
Leftgcd.insert(0, 0)
Rightgcd.insert(0, 0)
maxgcd = 1
for i in range(N):
    maxgcd = max(maxgcd, gcd(Leftgcd[i], Rightgcd[N - 1 - i]))
print(maxgcd)

Buggy python submission (verdict: Runtime Error):
import sys
# gcd
# from fractions import gcd
# 切り上げ，切り捨て
# from math import ceil, floor
# リストの真のコピー（変更が伝播しない）
# from copy import deepcopy
# 累積和。list(accumulate(A))としてAの累積和
# from itertools import accumulate
# l = ['a', 'b', 'b', 'c', 'b', 'a', 'c', 'c', 'b', 'c', 'b', 'a']
# S = Counter(l)  # カウンタークラスが作られる。S=Counter({'b': 5, 'c': 4, 'a': 3})
# print(S.most_common(2))  # [('b', 5), ('c', 4)]
# print(S.keys())  # dict_keys(['a', 'b', 'c'])
# print(S.values())  # dict_values([3, 5, 4])
# print(S.items())  # dict_items([('a', 3), ('b', 5), ('c', 4)])
# from collections import Counter
import math
from functools import reduce


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


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


#
# input関係の定義
input = sys.stdin.readline
def ii(): return int(input())
def mi(): return map(int, input().rstrip().split())
def lmi(): return list(map(int, input().rstrip().split()))
def li(): return list(input().rstrip())
# template


N = ii()
A = lmi()
old_gcd = gcd_list(A)
for i in range(N):
    A[i] = A[i] // old_gcd
i = N // 2
prev = 0
while i != prev:
    if gcd_list(A[i:N]) == 1:
        prev = i
        i = (i + N - 1) // 2
        continue
    else:
        i = (prev + i) // 2
        continue
A.pop(i)
print(old_gcd * gcd_list(A))
# print(A)
#
# num = N
# ans = []
# while num != 2:
#     ans = []
#     if num % 2 == 0:
#         num = -(-num // 2)
#         for i in range(num):
#             ans.append(math.gcd(A[2 * i], A[2 * i + 1]))
#     else:
#         num = -(-num // 2)
#         for i in range(num - 1):
#             ans.append(math.gcd(A[2 * i], A[2 * i + 1]))
#             ans.append(A[-1])
#     if ans.count(1) >= 2:
#         print(old_gcd)
#         break
# else:
#     print(max(ans))

Fixed submission:
import sys
# gcd
from fractions import gcd
# 切り上げ，切り捨て
# from math import ceil, floor
# リストの真のコピー（変更が伝播しない）
# from copy import deepcopy
# 累積和。list(accumulate(A))としてAの累積和
from itertools import accumulate
# l = ['a', 'b', 'b', 'c', 'b', 'a', 'c', 'c', 'b', 'c', 'b', 'a']
# S = Counter(l)  # カウンタークラスが作られる。S=Counter({'b': 5, 'c': 4, 'a': 3})
# print(S.most_common(2))  # [('b', 5), ('c', 4)]
# print(S.keys())  # dict_keys(['a', 'b', 'c'])
# print(S.values())  # dict_values([3, 5, 4])
# print(S.items())  # dict_items([('a', 3), ('b', 5), ('c', 4)])
# from collections import Counter
# import math
# from functools import reduce
#
# input関係の定義
input = sys.stdin.readline
def ii(): return int(input())
def mi(): return map(int, input().rstrip().split())
def lmi(): return list(map(int, input().rstrip().split()))
def li(): return list(input().rstrip())
# template


N = ii()
A = lmi()
Leftgcd = list(accumulate(A, gcd))
Rightgcd = list(accumulate(reversed(A), gcd))
Leftgcd.insert(0, 0)
Rightgcd.insert(0, 0)
maxgcd = 1
for i in range(N):
    maxgcd = max(maxgcd, gcd(Leftgcd[i], Rightgcd[N - 1 - i]))
print(maxgcd)