Buggy python submission (verdict: Runtime Error):
import math
import fractions
from collections import Counter as ct

def gcd_list(l):
    for n,i in enumerate(l):
        if n==0:cur=i
        cur=fractions.gcd(cur,i)
    return cur

def yakusulist(n):
    ans=[]
    for i in range(1,int(math.sqrt(n+1))+1):
        if n%i==0:
            ans.append(i)
            ans.append(n//i)
    return(set(ans))
    
def warennnokaomaera(n):
    if n==1:return(True)
    for k,i in enumerate(A):
        if k<3:continue
        if i%n:return(False)
    return(True)

N=int(input())
data=[int(i) for i in input().split()]
datagcd=gcd_list(data)
A=[i//datagcd for i in data]
if N>2:
    alpha=sorted(ct(A).keys())
    min3=[alpha[0],alpha[1],alpha[2]]
    p,q,r=[yakusulist(n) for n in min3]
    pq=p&q
    qr=q&r
    rp=r&p
    overtwo=pq|qr|rp
    overtwo=sorted(list(overtwo),reverse=True)
    for i in overtwo:
        if warennnokaomaera(i):
            print(datagcd*i)
            break
else:print(max(data))

Fixed submission:
import math
import fractions
from collections import Counter as ct

def gcd_list(l):
    for n,i in enumerate(l):
        if n==0:cur=i
        cur=fractions.gcd(cur,i)
    return cur

def yakusulist(n):
    ans=[]
    for i in range(1,int(math.sqrt(n+1))+1):
        if n%i==0:
            ans.append(i)
            ans.append(n//i)
    return(set(ans))
    
def warennnokaomaera(n):
    warenai=0
    for k,i in enumerate(A):
        if i%n and warenai==0:
            warenai+=1
            continue
        if i%n and warenai:return(False)
    return(True)

N=int(input())
data=[int(i) for i in input().split()]
datagcd=gcd_list(data)
A=[i//datagcd for i in data]
if N>2:
    co=ct(A)
    alpha=sorted(co.keys())
    if len(alpha)>=3:
        min3=[alpha[0],alpha[1],alpha[2]]
        p,q,r=[yakusulist(n) for n in min3]
        pq=p&q
        qr=q&r
        rp=r&p
        overtwo=pq|qr|rp
        overtwo=sorted(list(overtwo),reverse=True)
        for i in overtwo:
            if warennnokaomaera(i):
                print(datagcd*i)
                break
    elif len(alpha)==2:#Aの数の種類が2種類以下->1個書き換えで違う数ってどっちかが一個じゃないと無理、それ以外はそのまま
        if co[alpha[0]]==1:
            print(datagcd*alpha[1])
        elif co[alpha[1]]==1:
            print(datagcd*alpha[0])
        else:print(datagcd)
    else:print(datagcd)
else:print(max(data))

Buggy python submission (verdict: Runtime Error):
import math
from collections import Counter as ct

def gcd_list(l):
    for n,i in enumerate(l):
        if n==0:cur=i
        cur=math.gcd(cur,i)
    return cur

def yakusulist(n):
    ans=[]
    for i in range(1,int(math.sqrt(n+1))+1):
        if n%i==0:
            ans.append(i)
            ans.append(n//i)
    return(set(ans))
    
def warennnokaomaera(n):
    if n==1:return(True)
    for k,i in enumerate(A):
        if k<3:continue
        if i%n:return(False)
    return(True)

N=int(input())
data=[int(i) for i in input().split()]
datagcd=gcd_list(data)
A=[i//datagcd for i in data]
if N>2:
    alpha=sorted(ct(A).keys())
    min3=[alpha[0],alpha[1],alpha[2]]
    p,q,r=[yakusulist(n) for n in min3]
    pq=p&q
    qr=q&r
    rp=r&p
    overtwo=pq|qr|rp
    overtwo=sorted(list(overtwo),reverse=True)
    for i in overtwo:
        if warennnokaomaera(i):
            print(datagcd*i)
            break
else:print(max(data))

Fixed submission:
import math
import fractions
from collections import Counter as ct

def gcd_list(l):
    for n,i in enumerate(l):
        if n==0:cur=i
        cur=fractions.gcd(cur,i)
    return cur

def yakusulist(n):
    ans=[]
    for i in range(1,int(math.sqrt(n+1))+1):
        if n%i==0:
            ans.append(i)
            ans.append(n//i)
    return(set(ans))
    
def warennnokaomaera(n):
    warenai=0
    for k,i in enumerate(A):
        if i%n and warenai==0:
            warenai+=1
            continue
        if i%n and warenai:return(False)
    return(True)

N=int(input())
data=[int(i) for i in input().split()]
datagcd=gcd_list(data)
A=[i//datagcd for i in data]
if N>2:
    co=ct(A)
    alpha=sorted(co.keys())
    if len(alpha)>=3:
        min3=[alpha[0],alpha[1],alpha[2]]
        p,q,r=[yakusulist(n) for n in min3]
        pq=p&q
        qr=q&r
        rp=r&p
        overtwo=pq|qr|rp
        overtwo=sorted(list(overtwo),reverse=True)
        for i in overtwo:
            if warennnokaomaera(i):
                print(datagcd*i)
                break
    elif len(alpha)==2:#Aの数の種類が2種類以下->1個書き換えで違う数ってどっちかが一個じゃないと無理、それ以外はそのまま
        if co[alpha[0]]==1:
            print(datagcd*alpha[1])
        elif co[alpha[1]]==1:
            print(datagcd*alpha[0])
        else:print(datagcd)
    else:print(datagcd)
else:print(max(data))

Buggy python submission (verdict: Runtime Error):
import math
from collections import Counter as ct
from functools import reduce

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

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

def yakusulist(n):
    ans=[]
    for i in range(1,int(math.sqrt(n+1))+1):
        if n%i==0:
            ans.append(i)
            ans.append(n//i)
    return(set(ans))
    
def warennnokaomaera(n):
    if n==1:return(True)
    for k,i in enumerate(A):
        if k<3:continue
        if i%n:return(False)
    return(True)

N=int(input())
data=[int(i) for i in input().split()]
datagcd=gcd_list(data)
A=[i//datagcd for i in data]
if N>2:
    alpha=sorted(ct(A).keys())
    min3=[alpha[0],alpha[1],alpha[2]]
    p,q,r=[yakusulist(n) for n in min3]
    pq=p&q
    qr=q&r
    rp=r&p
    overtwo=pq|qr|rp
    overtwo=sorted(list(overtwo),reverse=True)
    for i in overtwo:
        if warennnokaomaera(i):
            print(datagcd*i)
            break
else:print(max(data))

Fixed submission:
import math
import fractions
from collections import Counter as ct

def gcd_list(l):
    for n,i in enumerate(l):
        if n==0:cur=i
        cur=fractions.gcd(cur,i)
    return cur

def yakusulist(n):
    ans=[]
    for i in range(1,int(math.sqrt(n+1))+1):
        if n%i==0:
            ans.append(i)
            ans.append(n//i)
    return(set(ans))
    
def warennnokaomaera(n):
    warenai=0
    for k,i in enumerate(A):
        if i%n and warenai==0:
            warenai+=1
            continue
        if i%n and warenai:return(False)
    return(True)

N=int(input())
data=[int(i) for i in input().split()]
datagcd=gcd_list(data)
A=[i//datagcd for i in data]
if N>2:
    co=ct(A)
    alpha=sorted(co.keys())
    if len(alpha)>=3:
        min3=[alpha[0],alpha[1],alpha[2]]
        p,q,r=[yakusulist(n) for n in min3]
        pq=p&q
        qr=q&r
        rp=r&p
        overtwo=pq|qr|rp
        overtwo=sorted(list(overtwo),reverse=True)
        for i in overtwo:
            if warennnokaomaera(i):
                print(datagcd*i)
                break
    elif len(alpha)==2:#Aの数の種類が2種類以下->1個書き換えで違う数ってどっちかが一個じゃないと無理、それ以外はそのまま
        if co[alpha[0]]==1:
            print(datagcd*alpha[1])
        elif co[alpha[1]]==1:
            print(datagcd*alpha[0])
        else:print(datagcd)
    else:print(datagcd)
else:print(max(data))