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()){
			long m = sc.nextLong();
			long n = sc.nextLong();
			
			System.out.printf("%d %d\n",gcd(m, n), lcm(m, n));
		}
	}
	
	public static long gcd(long a, long b){
		
		if(b == 0)	return a;
		else return gcd(b, a % b);
	}
	
	public static long lcm(long a, long b){
		return a * b / gcd(a, b);
	}
}