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
import java.util.*;
public class Main{
 void run() {
  Scanner sc = new Scanner(System.in);
  for(;sc.hasNext();){
   int a = sc.nextInt();
   int b = sc.nextInt();
   System.out.println( gcd(a, b) + " " + lcm(a, b) );
  }
 }
 int gcd(int a, int b){
  if(b==0) return a;
  return gcd(b, a%b);
 }
 int lcm(int a, int b){
  return a/gcd(a, b)*b;
 }
 public static void main(String[] args){
  new Main().run();
 }
}