Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
public class Main{
  public void run(java.io.InputStream in, java.io.PrintStream out){
    java.util.Scanner sc = new java.util.Scanner(in);
/*answer*/
    int a, b, g, l;

    for(;sc.hasNext();){
      a = sc.nextInt();
      b = sc.nextInt();

      g = gcd(a, b);
      l = (a / g) * b;

      System.out.println(g + " " + l);
    }

    sc.close();
  }
  public static void main(String[] args){
    (new Main()).run(System.in, System.out);
  }

  private static int gcd(int a, int b){
    if(a % b == 0){
      return b;
    }else{
      return gcd(b, (a % b));
    }
  }
}