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;

public class Main {

	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		while(sc.hasNext()){
			int a=sc.nextInt();
			int b=sc.nextInt();
			System.out.println(gcd(a,b)+" "+lcm(a,b));
		}
	}

	private static long gcd(int a,int b){
		int max=Math.max(a, b);
		int min=Math.min(a, b);

		int amari=max%min;
		if(amari==0)return min;
		return gcd(min,amari);
	}

	private static int lcm(long a,long b){
		return (int) (a*b/gcd((int)a,(int)b));
	}
}