Buggy python submission (verdict: Time Limit Exceeded):
import sys
read = sys.stdin.read
def main():
    n, *a = map(int, read().split())

    if n == 1:
        print(a[0])
        sys.exit()
    if n == 2:
        print(max(a))
        sys.exit()

    from math import sqrt
    from math import ceil
    maxa = max(a)
    maxa2 = ceil(sqrt(maxa))
    maxa2 = max(6, maxa2)  # maxa2が6未満だとエラーになる
    p = [False if i % 2 == 0 or i % 3 == 0 or i % 5 == 0 else True for i in range(maxa2)]
    p[0] = p[1] = False
    p[2] = p[3] = p[5] = True
    for is1 in range(3, maxa2, 2):
        for is2 in range(is1 ** 2, maxa2, is1):
            p[is2] = False
    prime_list = [i for i, b in enumerate(p) if b]

    r = 1
    jo = []
    for pre in prime_list:
        if all([ae == 1 for ae in a]):
            break
        while True:
            c = [ae % pre == 0 for ae in a]
            if all(c):
                r *= pre
                a = [ae // pre for ae in a]
            else:
                if c.count(0) == 1:
                    r *= pre
                    jo.append(pre)
                    a[c.index(0)] *= pre
                    a = [ae // pre for ae in a]
                else:
                    break
    jo.sort()
    lenjo = len(jo)
    for joe in jo[:lenjo - 1]:
        r = r // joe
    print(r)

if __name__ == '__main__':
    main()

Fixed submission:
import sys
read = sys.stdin.read
from math import gcd
def main():
    n, *a = map(int, read().split())
    if n == 1:
        print(a[0])
        sys.exit()
    l = [0] * (n + 1)
    for i1 in range(n):
        l[i1 + 1] = gcd(l[i1], a[i1])
    r = [0] * (n + 1)
    for j1 in range(n - 1, -1, -1):
        r[j1] = gcd(r[j1 + 1], a[j1])
    m = [0] * (n + 1)
    for k1 in range(n):
        m[k1] = gcd(l[k1], r[k1 + 1])
    r = max(m)
    print(r)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
import sys
read = sys.stdin.read
from math import gcd
from collections import deque
from operator import mul
from functools import reduce
def main():
    n = int(input())
    a = list(map(int, read().split()))
    if n == 2:
        print(max(a))
        sys.exit()
    from math import sqrt
    from math import ceil
    maxa = max(a)
    maxa2 = ceil(sqrt(maxa))
    maxa2 = max(6, maxa2)  # maxa2が6未満だとエラーになる
    p = [False if i % 2 == 0 or i % 3 == 0 or i % 5 == 0 else True for i in range(maxa2)]
    p[0] = p[1] = False
    p[2] = p[3] = p[5] = True
    for is1 in range(3, maxa2, 2):
        for is2 in range(is1 ** 2, maxa2, is1):
            p[is2] = False
    prime_list = [i for i, b in enumerate(p) if b]
    div = []
    koho = -1
    for pe in prime_list:
        while True:
            check = [i % pe == 0 for i in a]
            if all(check):
                div.append(pe)
                a = [i // pe for i in a]
            else:
                if n - sum(check) == 1:
                    koho = pe
                break
    if koho > 0:
        div.append(koho)
    r = reduce(mul, div)
    print(r)

if __name__ == '__main__':
    main()


Fixed submission:
import sys
read = sys.stdin.read
from math import gcd
def main():
    n, *a = map(int, read().split())
    if n == 1:
        print(a[0])
        sys.exit()
    l = [0] * (n + 1)
    for i1 in range(n):
        l[i1 + 1] = gcd(l[i1], a[i1])
    r = [0] * (n + 1)
    for j1 in range(n - 1, -1, -1):
        r[j1] = gcd(r[j1 + 1], a[j1])
    m = [0] * (n + 1)
    for k1 in range(n):
        m[k1] = gcd(l[k1], r[k1 + 1])
    r = max(m)
    print(r)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
import sys
read = sys.stdin.read
from math import gcd
from collections import deque
from operator import mul
from functools import reduce
def main():
    n = int(input())
    a = list(map(int, read().split()))

    from math import sqrt
    from math import ceil
    maxa = max(a)
    maxa2 = ceil(sqrt(maxa))
    maxa2 = max(6, maxa2)  # maxa2が6未満だとエラーになる
    p = [False if i % 2 == 0 or i % 3 == 0 or i % 5 == 0 else True for i in range(maxa2)]
    p[0] = p[1] = False
    p[2] = p[3] = p[5] = True
    for is1 in range(3, maxa2, 2):
        for is2 in range(is1 ** 2, maxa2, is1):
            p[is2] = False
    prime_list = [i for i, b in enumerate(p) if b]
    div = []
    koho = -1
    for pe in prime_list:
        while True:
            check = [i % pe == 0 for i in a]
            if all(check):
                div.append(pe)
                a = [i // pe for i in a]
            else:
                if n - sum(check) == 1:
                    koho = pe
                break
    if koho > 0:
        div.append(koho)
    r = reduce(mul, div)
    print(r)

if __name__ == '__main__':
    main()

Fixed submission:
import sys
read = sys.stdin.read
from math import gcd
def main():
    n, *a = map(int, read().split())
    if n == 1:
        print(a[0])
        sys.exit()
    l = [0] * (n + 1)
    for i1 in range(n):
        l[i1 + 1] = gcd(l[i1], a[i1])
    r = [0] * (n + 1)
    for j1 in range(n - 1, -1, -1):
        r[j1] = gcd(r[j1 + 1], a[j1])
    m = [0] * (n + 1)
    for k1 in range(n):
        m[k1] = gcd(l[k1], r[k1 + 1])
    r = max(m)
    print(r)

if __name__ == '__main__':
    main()