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{
	private static final Scanner scan = new Scanner(System.in);

	public static long gcd(long a, long b){
		if(b != 0) return gcd(b, a % b);
		else return a;
	}

	public static long lcm(long a, long b, long g){
		long v = a / g;
		long w = b / g;
		long l = v * w * g;
		return l;
	}

	public static void main(String[] args){

		while(scan.hasNext()){
			long a = scan.nextLong();
			long b = scan.nextLong();
			long g = gcd(a, b);
			long l = lcm(a, b, g);
			System.out.printf("%d %d\n", g, l);
		}
	}
}