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

N = int(input())
A = [int(a) for a in input().split()]

# L[i] = gcd(A[:i + 1])
# R[i] = gcd(A[i:])
L = [0] * N
L[0] = A[0]
for i in range(1, N):
    L[i] = math.gcd(L[i-1], A[i])
R = [0] * N
R[-1] = A[-1]
for i in range(N - 2, -1, -1):
    R[i] = math.gcd(R[i+1], A[i])

G = [0] * N
G[0]  = R[1]
G[-1] = L[-2]
for i in range(1, N - 1):
    G[i] = math.gcd(L[i-1], R[i+1])

print(max(G))


Fixed submission:
# math.gcd is introduced in python 3.5
def gcd(a, b):
    while b > 0:
        a, b = b, a % b
    return a

N = int(input())
A = [int(a) for a in input().split()]

# L[i] = gcd(A[:i + 1])
# R[i] = gcd(A[i:])
L = [0] * N
L[0] = A[0]
for i in range(1, N):
    L[i] = gcd(L[i-1], A[i])
R = [0] * N
R[-1] = A[-1]
for i in range(N - 2, -1, -1):
    R[i] = gcd(R[i+1], A[i])

G = [0] * N
G[0]  = R[1]
G[-1] = L[-2]
for i in range(1, N - 1):
    G[i] = gcd(L[i-1], R[i+1])

print(max(G))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = map(int, input().split())

def factorize(x):
    """xの素因数分解を表す辞書 {素因数: 指数}"""
    f = {}
    d = 2
    while x > 1:
        c = 0
        while x % d == 0:
            c += 1
            x //= d
        f[d] = c
        d += 1
        if d * d > x > d:
            d = x
    return f

def dropmin(ls):
    """[min(ls[:i] + ls[i + 1:]) for i in range(len(ls))]"""
    # l = [min(ls[:i]) for i in range(len(ls))]
    l = [float('inf')] * len(ls)
    for i in range(1, len(ls)):
        l[i] = min(l[i - 1], ls[i - 1])
    # r = [min(ls[i + 1:]) for i in range(len(ls))]
    r = [float('inf')] * len(ls)
    for i in range(len(ls) - 2, -1, -1):
        r[i] = min(r[i + 1], ls[i + 1])
    return [min(a, b) for a, b in zip(l, r)]

def prod(ls):
    p = 1
    for x in ls:
        p *= x
    return p

# 各A_iの素因数
F = [factorize(a) for a in A]

# 素因数の集合 (2要素に出現しない素因数は無視)
D =  set(F[0].keys())
D.update(F[1].keys())

# Dの要素 d → dが各A_iに含まれる個数のリスト
X = {d: [f[d] if d in f else 0 for f in F] for d in D}

# Dの要素 d → A_iを削除したときのdの個数の最小値のリスト
X = {d: dropmin(X[d]) for d in D}

S = [prod(d ** X[d][i] for d in D if X[d][i] > 0) for i in range(N)]
print(max(S))


Fixed submission:
# math.gcd is introduced in python 3.5
def gcd(a, b):
    while b > 0:
        a, b = b, a % b
    return a

N = int(input())
A = [int(a) for a in input().split()]

# L[i] = gcd(A[:i + 1])
# R[i] = gcd(A[i:])
L = [0] * N
L[0] = A[0]
for i in range(1, N):
    L[i] = gcd(L[i-1], A[i])
R = [0] * N
R[-1] = A[-1]
for i in range(N - 2, -1, -1):
    R[i] = gcd(R[i+1], A[i])

G = [0] * N
G[0]  = R[1]
G[-1] = L[-2]
for i in range(1, N - 1):
    G[i] = gcd(L[i-1], R[i+1])

print(max(G))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = map(int, input().split())

def factorize(x):
    """xの素因数分解を表す辞書 {素因数: 指数}"""
    f = {}
    d = 2
    while x > 1:
        while x % d == 0:
            if d not in f:
                f[d] = 0
            f[d] += 1
            x //= d
        if d * d > x > d:
            f[x] = 1
            break
        d += 1
    return f

def dropmin(ls):
    """[min(ls[:i] + ls[i + 1:]) for i in range(len(ls))]"""
    # l = [min(ls[:i]) for i in range(len(ls))]
    l = [float('inf')] * len(ls)
    for i in range(1, len(ls)):
        l[i] = min(l[i - 1], ls[i - 1])
    # r = [min(ls[i + 1:]) for i in range(len(ls))]
    r = [float('inf')] * len(ls)
    for i in range(len(ls) - 2, -1, -1):
        r[i] = min(r[i + 1], ls[i + 1])
    return [min(a, b) for a, b in zip(l, r)]

def prod(ls):
    p = 1
    for x in ls:
        p *= x
    return p

# 各A_iの素因数
F = [factorize(a) for a in A]

# 素因数の集合 (2要素に出現しない素因数は無視)
D =  set(F[0].keys())
D.update(F[1].keys())

# Dの要素 d → dが各A_iに含まれる個数のリスト
X = {d: [f[d] if d in f else 0 for f in F] for d in D}

# Dの要素 d → A_iを削除したときのdの個数の最小値のリスト
X = {d: dropmin(X[d]) for d in D}

S = [prod(d ** X[d][i] for d in D if X[d][i] > 0) for i in range(N)]
print(max(S))


Fixed submission:
# math.gcd is introduced in python 3.5
def gcd(a, b):
    while b > 0:
        a, b = b, a % b
    return a

N = int(input())
A = [int(a) for a in input().split()]

# L[i] = gcd(A[:i + 1])
# R[i] = gcd(A[i:])
L = [0] * N
L[0] = A[0]
for i in range(1, N):
    L[i] = gcd(L[i-1], A[i])
R = [0] * N
R[-1] = A[-1]
for i in range(N - 2, -1, -1):
    R[i] = gcd(R[i+1], A[i])

G = [0] * N
G[0]  = R[1]
G[-1] = L[-2]
for i in range(1, N - 1):
    G[i] = gcd(L[i-1], R[i+1])

print(max(G))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = map(int, input().split())

def factorize(x):
    """xの素因数分解を表す辞書 {素因数: 指数}"""
    f = {}
    d = 2
    while x > 1:
        while x % d == 0:
            if d not in f:
                f[d] = 0
            f[d] += 1
            x //= d
        if d * d > x > d:
            f[x] = 1
            break
        d += 1
    return f

def dropmin(ls):
    """[min(ls[:i] + ls[i + 1:]) for i in range(len(ls))]"""
    # l = [min(ls[:i]) for i in range(len(ls))]
    l = [float('inf')] * len(ls)
    for i in range(1, len(ls)):
        l[i] = min(l[i - 1], ls[i - 1])
    # r = [min(ls[i + 1:]) for i in range(len(ls))]
    r = [float('inf')] * len(ls)
    for i in range(len(ls) - 2, -1, -1):
        r[i] = min(r[i + 1], ls[i + 1])
    return [min(a, b) for a, b in zip(l, r)]

def prod(ls):
    p = 1
    for x in ls:
        p *= x
    return p

# 各A_iの素因数
F = [factorize(a) for a in A]

# 素因数の集合 (2要素に出現しない素因数は無視)
D =  set(F[0].keys())
D.update(F[1].keys())

# Dの要素 d → dが各A_iに含まれる個数のリスト
X = {d: [f[d] if d in f else 0 for f in F] for d in D}

# Dの要素 d → A_iを削除したときのdの個数の最小値のリスト
X = {d: dropmin(X[d]) for d in D}

S = [prod(d ** X[d][i] for d in D if X[d][i] > 0) for i in range(N)]
print(max(S))


Fixed submission:
# math.gcd is introduced in python 3.5
def gcd(a, b):
    while b > 0:
        a, b = b, a % b
    return a

N = int(input())
A = [int(a) for a in input().split()]

# L[i] = gcd(A[:i + 1])
# R[i] = gcd(A[i:])
L = [0] * N
L[0] = A[0]
for i in range(1, N):
    L[i] = gcd(L[i-1], A[i])
R = [0] * N
R[-1] = A[-1]
for i in range(N - 2, -1, -1):
    R[i] = gcd(R[i+1], A[i])

G = [0] * N
G[0]  = R[1]
G[-1] = L[-2]
for i in range(1, N - 1):
    G[i] = gcd(L[i-1], R[i+1])

print(max(G))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = map(int, input().split())

def factorize(x):
    """xの素因数分解を表す辞書 {素因数: 指数}"""
    f = {}
    d = 2
    while x > 1:
        while x % d == 0:
            if d not in f:
                f[d] = 0
            f[d] += 1
            x //= d
        d += 1
    return f

def dropmin(ls):
    """[min(ls[:i] + ls[i + 1:]) for i in range(len(ls))]"""
    # l = [min(ls[:i]) for i in range(len(ls))]
    l = [float('inf')] * len(ls)
    for i in range(1, len(ls)):
        l[i] = min(l[i - 1], ls[i - 1])
    # r = [min(ls[i + 1:]) for i in range(len(ls))]
    r = [float('inf')] * len(ls)
    for i in range(len(ls) - 2, -1, -1):
        r[i] = min(r[i + 1], ls[i + 1])
    return [min(a, b) for a, b in zip(l, r)]

def prod(ls):
    p = 1
    for x in ls:
        p *= x
    return p

# 各A_iの素因数
F = [factorize(a) for a in A]

# 素因数の集合 (2要素に出現しない素因数は無視)
D =  set(F[0].keys())
D.update(F[1].keys())

# Dの要素 d → dが各A_iに含まれる個数のリスト
X = {d: [f[d] if d in f else 0 for f in F] for d in D}

# Dの要素 d → A_iを削除したときのdの個数の最小値のリスト
X = {d: dropmin(X[d]) for d in D}

S = [prod(d ** X[d][i] for d in D if X[d][i] > 0) for i in range(N)]
print(max(S))


Fixed submission:
# math.gcd is introduced in python 3.5
def gcd(a, b):
    while b > 0:
        a, b = b, a % b
    return a

N = int(input())
A = [int(a) for a in input().split()]

# L[i] = gcd(A[:i + 1])
# R[i] = gcd(A[i:])
L = [0] * N
L[0] = A[0]
for i in range(1, N):
    L[i] = gcd(L[i-1], A[i])
R = [0] * N
R[-1] = A[-1]
for i in range(N - 2, -1, -1):
    R[i] = gcd(R[i+1], A[i])

G = [0] * N
G[0]  = R[1]
G[-1] = L[-2]
for i in range(1, N - 1):
    G[i] = gcd(L[i-1], R[i+1])

print(max(G))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = map(int, input().split())

def factorize(x):
    """xの素因数分解を表す辞書 {素因数: 指数}"""
    f = {}
    d = 2
    while x > 1:
        while x % d == 0:
            if d not in f:
                f[d] = 0
            f[d] += 1
            x //= d
        d += 1
    return f

def dropmin(ls):
    """[min(ls[:i] + ls[i + 1:]) for i in range(len(ls))]"""
    # l = [min(ls[:i]) for i in range(len(ls))]
    l = [float('inf')] * len(ls)
    for i in range(1, len(ls)):
        l[i] = min(l[i - 1], ls[i - 1])
    # r = [min(ls[i + 1:]) for i in range(len(ls))]
    r = [float('inf')] * len(ls)
    for i in range(len(ls) - 2, -1, -1):
        r[i] = min(r[i + 1], ls[i + 1])
    return [min(a, b) for a, b in zip(l, r)]

def prod(ls):
    p = 1
    for x in ls:
        p *= x
    return p

# 各A_iの素因数
F = [factorize(a) for a in A]

# 素因数の集合 (2要素に出現しない素因数は無視)
D =  set(F[0].keys())
D.update(F[1].keys())

# Dの要素 d → dが各A_iに含まれる個数のリスト
X = {d: [f[d] if d in f else 0 for f in F] for d in D}

# Dの要素 d → A_iを削除したときのdの個数の最小値のリスト
X = {d: dropmin(X[d]) for d in D}

S = [prod(d ** X[d][i] for d in D if X[d][i] > 0) for i in range(N)]
print(max(S))


Fixed submission:
# math.gcd is introduced in python 3.5
def gcd(a, b):
    while b > 0:
        a, b = b, a % b
    return a

N = int(input())
A = [int(a) for a in input().split()]

# L[i] = gcd(A[:i + 1])
# R[i] = gcd(A[i:])
L = [0] * N
L[0] = A[0]
for i in range(1, N):
    L[i] = gcd(L[i-1], A[i])
R = [0] * N
R[-1] = A[-1]
for i in range(N - 2, -1, -1):
    R[i] = gcd(R[i+1], A[i])

G = [0] * N
G[0]  = R[1]
G[-1] = L[-2]
for i in range(1, N - 1):
    G[i] = gcd(L[i-1], R[i+1])

print(max(G))