#include<bits/stdc++.h>
using namespace std;
#define int long long
#define REP(i,m,n) for(int i=(m);i<(n);i++)
#define rep(i,n) REP(i,0,n)
#define pb push_back
#define all(a) a.begin(),a.end()
#define rall(c) (c).rbegin(),(c).rend()
#define mp make_pair
#define endl '\n'
//#define vec vector<ll>
//#define mat vector<vector<ll> >
#define fi first
#define se second
#define double long double
typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll,ll> pll;
//typedef long double ld;
typedef complex<double> Complex;
const ll INF=1e9+7;
const ll MOD=998244353;
const ll inf=INF*INF;
const ll mod=INF;
const ll MAX=1000010;
const double PI=acos(-1.0);
typedef vector<vector<ll> > mat;
typedef vector<ll> vec;





signed main(){
    ll t;
    cin>>t;
    vector<ll>p(MAX);
    vector<ll>a(0);
    REP(i,2,MAX){
        ll k=1;
        if(p[i]>0)continue;
        a.pb(i);
        while(k*i<MAX){
            if(p[k*i]==0)p[k*i]=i;
            k++;
        }
    }
    while(t--){
        ll x;cin>>x;
        ll mi=inf;
        rep(j,a.size()){
            if(x%a[j]!=0){
                mi=min(mi,a[j]);
                break;
            }else{
                ll s=a[j];
                ll y=x;
                while(y%a[j]==0){
                    s*=a[j];
                    y/=a[j];
                }
                mi=min(mi,s);
            }
        }
        cout<<mi*x<<endl;
    }
}