import java.io.*;
import java.util.*;

class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader bu=new BufferedReader(new InputStreamReader(System.in));
        StringBuilder sb=new StringBuilder();

        int N=500000,pr[]=new int[N+1],i,j;
        ArrayList<Integer> p=new ArrayList<>();
        for(i=2;i<=N;i++)
        if(pr[i]==0)
        {
            p.add(i);
            for(j=i;j<=N;j+=i) pr[j]=i;
        }

        int t=Integer.parseInt(bu.readLine());
        while(t-->0)
        {
            long n=Long.parseLong(bu.readLine());
            long sm=Long.MAX_VALUE;
            for(int x:p)
            if(n%x!=0) {sm=Math.min(sm,x); break;}
            else
            {
                long y=n,mul=x;
                while(y%x==0) {y/=x; mul*=x;}
                sm=Math.min(sm,mul);
            }
            sm*=n;
            sb.append(sm+"\n");
        }
        System.out.print(sb);
    }
}