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.Scanner;

class Main{

    static double gcd(double a,double b){
	if(b==0) return a;
	else return gcd(b,a%b);
    }
    
    public static void main(String[] args){
	final Scanner sc = new Scanner(System.in);
	while(sc.hasNext()){
	    double a=sc.nextDouble();
	    double b=sc.nextDouble();
	    double g=gcd(a,b);
	    System.out.printf("%.0f %.0f\n",g,(a*b)/g);
	}
    }
}