Buggy python submission (verdict: Runtime Error):
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


def sub():
    N, As = [input() for _ in range(2)]
    N = int(N)
    As = [int(e) for e in As.split(" ")]
    # As = sorted(As, reverse=True)

    memG = 0
    for i in range(N):
        tmp = As[:i] + As[i + 1 :]
        gI = gcd(tmp[0], tmp[1])
        tmp = tmp[2:]
        for t in tmp:
            gI = gcd(t, gI)
            if gI < memG:
                break
        if gI > memG:
            memG = gI
    print("{}".format(memG))


sub()


Fixed submission:
from functools import lru_cache, reduce


@lru_cache(maxsize=None)
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


def sub():
    N, As = [input() for _ in range(2)]
    N = int(N)
    As = [int(e) for e in As.split(" ")]
    # As = sorted(As, reverse=True)

    memG = 0
    # if N == 2:
    # memG = gcd(As[0], As[1])
    if N < 10:
        for i in range(N):
            tmp = As[:i] + As[i + 1 :]
            g = reduce(gcd, tmp)
            if g > memG:
                memG = g
    else:
        gLeft = {0: As[0], 1: gcd(As[0], As[1])}
        for i in range(2, N):
            gI = gcd(gLeft[i - 1], As[i])
            gLeft[i] = gI
        gRight = {N - 1: As[N - 1], N - 2: gcd(As[N - 1], As[N - 2])}
        for i in range(2, N):
            gI = gcd(gRight[N - i], As[N - 1 - i])
            gRight[N - 1 - i] = gI

        buf = []
        for i in range(N):
            leftG = None
            if (i - 1) in gLeft:
                leftG = gLeft[i - 1]
            rightG = None
            if (i + 1) in gRight:
                rightG = gRight[i + 1]
            # tmpG = None
            if leftG is None:
                leftG = rightG
            elif rightG is None:
                rightG = leftG
            buf.append(gcd(leftG, rightG))
            # tmpG = gcd(leftG, rightG)
            # if tmpG > memG:
            #     memG = tmpG
        memG = max(buf)

    print("{}".format(memG))


sub()

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


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


def sub():
    N, As = [input() for _ in range(2)]
    N = int(N)
    As = [int(e) for e in As.split(" ")]
    As = sorted(As, reverse=True)

    memG = 0
    for i in range(N):
        tmp = As[:i] + As[i + 1 :]
        g = functools.reduce(gcd, tmp)
        if g > memG:
            memG = g
    print("{}".format(memG))


sub()

Fixed submission:
from functools import lru_cache, reduce


@lru_cache(maxsize=None)
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


def sub():
    N, As = [input() for _ in range(2)]
    N = int(N)
    As = [int(e) for e in As.split(" ")]
    # As = sorted(As, reverse=True)

    memG = 0
    # if N == 2:
    # memG = gcd(As[0], As[1])
    if N < 10:
        for i in range(N):
            tmp = As[:i] + As[i + 1 :]
            g = reduce(gcd, tmp)
            if g > memG:
                memG = g
    else:
        gLeft = {0: As[0], 1: gcd(As[0], As[1])}
        for i in range(2, N):
            gI = gcd(gLeft[i - 1], As[i])
            gLeft[i] = gI
        gRight = {N - 1: As[N - 1], N - 2: gcd(As[N - 1], As[N - 2])}
        for i in range(2, N):
            gI = gcd(gRight[N - i], As[N - 1 - i])
            gRight[N - 1 - i] = gI

        buf = []
        for i in range(N):
            leftG = None
            if (i - 1) in gLeft:
                leftG = gLeft[i - 1]
            rightG = None
            if (i + 1) in gRight:
                rightG = gRight[i + 1]
            # tmpG = None
            if leftG is None:
                leftG = rightG
            elif rightG is None:
                rightG = leftG
            buf.append(gcd(leftG, rightG))
            # tmpG = gcd(leftG, rightG)
            # if tmpG > memG:
            #     memG = tmpG
        memG = max(buf)

    print("{}".format(memG))


sub()

Buggy python submission (verdict: Runtime Error):
import math
import functools


def sub():
    N, As = [input() for _ in range(2)]
    N = int(N)
    As = [int(e) for e in As.split(" ")]

    memG = 0
    for i in range(N):
        tmp = As[:i] + As[i + 1 :]
        g = functools.reduce(math.gcd, tmp)
        if g > memG:
            memG = g
    print("{}".format(memG))


sub()


Fixed submission:
from functools import lru_cache, reduce


@lru_cache(maxsize=None)
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


def sub():
    N, As = [input() for _ in range(2)]
    N = int(N)
    As = [int(e) for e in As.split(" ")]
    # As = sorted(As, reverse=True)

    memG = 0
    # if N == 2:
    # memG = gcd(As[0], As[1])
    if N < 10:
        for i in range(N):
            tmp = As[:i] + As[i + 1 :]
            g = reduce(gcd, tmp)
            if g > memG:
                memG = g
    else:
        gLeft = {0: As[0], 1: gcd(As[0], As[1])}
        for i in range(2, N):
            gI = gcd(gLeft[i - 1], As[i])
            gLeft[i] = gI
        gRight = {N - 1: As[N - 1], N - 2: gcd(As[N - 1], As[N - 2])}
        for i in range(2, N):
            gI = gcd(gRight[N - i], As[N - 1 - i])
            gRight[N - 1 - i] = gI

        buf = []
        for i in range(N):
            leftG = None
            if (i - 1) in gLeft:
                leftG = gLeft[i - 1]
            rightG = None
            if (i + 1) in gRight:
                rightG = gRight[i + 1]
            # tmpG = None
            if leftG is None:
                leftG = rightG
            elif rightG is None:
                rightG = leftG
            buf.append(gcd(leftG, rightG))
            # tmpG = gcd(leftG, rightG)
            # if tmpG > memG:
            #     memG = tmpG
        memG = max(buf)

    print("{}".format(memG))


sub()