#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
typedef long long int ll;
typedef long double ld;
#define FOR(i,l,r) for(ll i=l;i<r;i++)
#define REP(i,n) FOR(i,0,n)
#define RFOR(i,l,r) for(ll i=r-1;i>=l;i--)
#define RREP(i,n) RFOR(i,0,n)
#define ALL(x) x.begin(),x.end()
#define P pair<ll,ll>
#define F first
#define S second
#define BS(A,x) binary_search(ALL(A),x)
#define LB(A,x) (ll)(lower_bound(ALL(A),x)-A.begin())
#define UB(A,x) (ll)(upper_bound(ALL(A),x)-A.begin())
#define COU(A,x) UB(A,x)-LB(A,x)
template<typename T>using min_priority_queue=priority_queue<T,vector<T>,greater<T>>;
using mint=modint1000000007;
//using mint=modint998244353;
void chmax(ll&a,ll b){a=max(a,b);}
void chmin(ll&a,ll b){a=min(a,b);}
signed main(){
  ll N;cin>>N;
  vector<ll>M(1000001),prime;
  FOR(i,2,1001){
    bool x=1;
    for(auto p:prime)if(i%p==0)x=0;
    if(x)prime.push_back(i);
  }
  REP(i,N){
    ll A;cin>>A;
    vector<P>factor;
    for(auto p:prime)if(A%p==0){
      ll e=0;
      while(A%p==0){e++;A/=p;}
      factor.push_back(P(p,e));
    }
    if(A>1)factor.push_back(P(A,1));
    ll t=factor.size();
    vector<ll>R(t);
    ll a=1;
    while(1){
      M[a]++;
      ll k=0;while(k<t&&R[k]==factor[k].S){a/=pow(factor[k].F,factor[k].S);R[k++]=0;}
      if(k==t)break;R[k]++;a*=factor[k].F;
    }
  }
  vector<ll>ans(N);
  REP(i,1000001)if(M[i])ans[M[i]-1]=i;
  reverse(ALL(ans));REP(i,N-1)chmax(ans[i+1],ans[i]);
  REP(i,N)cout<<ans[i]<<endl;
  return 0;
}