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

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int[] primes = new int[]{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31};
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < n; i++) {
            long x = sc.nextLong();
            long y = x;
            long ans = Long.MAX_VALUE;
            for (int j = 0; j < primes.length; j++) {
                int count = 0;
                while (y % primes[j] == 0) {
                    count++;
                    y /= primes[j];
                }
                if (count == 0) {
                    if (ans > primes[j]) {
                        ans = primes[j];
                    }
                    break;
                } else {
                    ans = Math.min(ans, (long)Math.pow(primes[j], count + 1));
                }
            }
            sb.append(ans * x).append("\n");
        }
        System.out.print(sb);
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public String next() throws Exception {
        if (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}