Buggy python submission (verdict: Runtime Error):
n = int(input())
As = list(map(int, input().split()))
from math import gcd
# 左からの累積GCDと
g = As[0]
left = []
for a in As:
    g = gcd(g, a)
    left.append(g)
# 右からの累積GCD
As_r = As[::-1]
g_r = As_r[0]
right = []    
for a in As_r:
    g_r = gcd(g_r, a)
    right.append(g_r)
    
l = left
r = right[::-1]
ans = 0
for i in range(n):
    if i == 0:
        ans = max(ans, r[1])
    elif i == n-1:
        ans = max(ans, l[n-2])
    else:     
        g = gcd(l[i-1],r[i+1])
        ans = max(ans, g)
print(ans)

Fixed submission:
N  = int(input())
As = [int(i) for i in input().split()]

# 約数
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors

# 最大公約数
def gcd(n, m):
    # 最大公約数
    a = max(n,m)
    b = min(n,m)
    while b:
        a, b = b, a % b
    return a

## 高々3種類調べれば良い

if N > 2:
    devs = make_divisors(gcd(As[0],As[1]))
    devs.extend(make_divisors(gcd(As[1],As[2])))
    devs.extend(make_divisors(gcd(As[2],As[0])))
    devs = list(set(devs))
    cnt = 1
    for dev in sorted(devs)[::-1]:
        a = sum([a%dev==0 for a in As])
        if N - a == 0 or N - a == 1:
            print(dev)
            break
else:
    print(max(As))

Buggy python submission (verdict: Runtime Error):
n = int(input())
As = list(map(int, input().split()))

"""
7 6 8 
1個除いた最大公約数
A1~A(i-1), Ai+1~ANの最大公約数がわかれば良い
"""
# from math import gcd
from fractions import gcd
import sys
input = sys.stdin.readline
class segmented_tree:
    X_unit = 1 << 30
    # X_f = lambda self, a, b: min(a,b)
    X_f = gcd
    def __init__(self, N):
        self.N = N
        self.X = [self.X_unit] * (2*N)
        
    def build(self, seq):
        for i, x in enumerate(seq, self.N):
            self.X[i] = x 
        # 後ろから入れていく
        for i in range(self.N-1, 0, -1):
            self.X[i] = self.X_f(self.X[i<<1], self.X[i<<1|1])

    # 1点更新
    def set_val(self, i, x):
        i += self.N
        self.X[i] = x
        while i > 1:
            i >>= 1
            self.X[i] = self.X_f(self.X[i<<1],self.X[i<<1|1])
    
    # 区間取得
    def fold(self, l, r):
        l += self.N
        r += self.N
        vl = self.X[l]
        vr = self.X[r-1]
        # 外から決めていく
        while l < r:
            # print(l,r)
            if l & 1:
                vl = self.X_f(self.X[l], self.X[l])
                l += 1
            if r & 1:
                r -= 1
                vr = self.X_f(self.X[r], self.X[r])
            l >>= 1
            r >>= 1
        return self.X_f(vl,vr)
  
st = segmented_tree(n)
st.build(As)
mx = 0
for i in range(n):
    a = st.fold(0,i)
        
    if i+1 < n:
        b = st.fold(i+1,n)
    else:
        b = a
    if i == 0:
        a = b
    # print("a",a,b)
    mx = max(mx,gcd(a,b))
print(mx)

Fixed submission:
N  = int(input())
As = [int(i) for i in input().split()]

# 約数
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors

# 最大公約数
def gcd(n, m):
    # 最大公約数
    a = max(n,m)
    b = min(n,m)
    while b:
        a, b = b, a % b
    return a

## 高々3種類調べれば良い

if N > 2:
    devs = make_divisors(gcd(As[0],As[1]))
    devs.extend(make_divisors(gcd(As[1],As[2])))
    devs.extend(make_divisors(gcd(As[2],As[0])))
    devs = list(set(devs))
    cnt = 1
    for dev in sorted(devs)[::-1]:
        a = sum([a%dev==0 for a in As])
        if N - a == 0 or N - a == 1:
            print(dev)
            break
else:
    print(max(As))

Buggy python submission (verdict: Runtime Error):
N  = int(input())
As = [int(i) for i in input().split()]

# 約数
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors

devs = make_divisors(A[0])
devs.extend(make_divisors(A[1]))

devs = list(set(devs))
cnt = 1
for dev in sorted(devs)[::-1]:
    a = sum([a%dev==0 for a in As])
    if N - a == 0 or N -a == 1:
        print(dev)
        break

Fixed submission:
N  = int(input())
As = [int(i) for i in input().split()]

# 約数
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors

# 最大公約数
def gcd(n, m):
    # 最大公約数
    a = max(n,m)
    b = min(n,m)
    while b:
        a, b = b, a % b
    return a

## 高々3種類調べれば良い

if N > 2:
    devs = make_divisors(gcd(As[0],As[1]))
    devs.extend(make_divisors(gcd(As[1],As[2])))
    devs.extend(make_divisors(gcd(As[2],As[0])))
    devs = list(set(devs))
    cnt = 1
    for dev in sorted(devs)[::-1]:
        a = sum([a%dev==0 for a in As])
        if N - a == 0 or N - a == 1:
            print(dev)
            break
else:
    print(max(As))