from collections import Counter
#N = 入力の最大
N = 1000000 + 100
sieve = [i for i in range(N + 1)]

for i in range(2,N + 1):
    if sieve[i] == i:
        for j in range(2 * i, N + 1, i):
            sieve[j] = i

def prime_fact(X):
    ret = Counter()
    if X == 1:
        return ret
    while 1:
        ret[sieve[X]] += 1
        if sieve[X] == X:
            break
        else:
            X //= sieve[X]
    return ret

def divisors(N, b):
    div = [1]
    b[1] += 1
    for p,a in prime_fact(N).items():
        m = len(div)
        for i in range(m):
            for j in range(1, a+1):
                div.append(div[i] * p**j)
                b[div[i] * p ** j] += 1
    
    return b
n = int(input())

a = list(map(int,input().split()))

#K = N - 1のとき答えはmax(a)になる
#ではK = N - 2では?2個残さないといけないので、答えは2個選んだときの最大公約数の最大値
#同様にN - K個選んだ時の最大公約数の最大値になる
#aの約数をマッピングしていく、N - K以上の最大値を探せばよい

b = [0] * (10 ** 6 + 100)
for i in range(n):
    b = divisors(a[i], b)
ans = [0] * (n + 1)
for i in range(10 ** 6 + 99):
    if b[i] != 0:
        ans[b[i]] = i
ans.reverse()
for i in range(n):
    ans[i] = max(ans[i], ans[i - 1])
    print(ans[i])