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 {
	public static void main(String[] args){

		Scanner cin = new Scanner(System.in);
		int a;
		int b;
		int g;
		
		while (cin.hasNext()){
			a = cin.nextInt();
			b = cin.nextInt();
			g = GCD(a, b);
			System.out.println(g + " " + a * (b / g));
		}
	}
	
	private static int GCD (int a, int b){
		if (a % b != 0){
			return (GCD(b, a % b));
		}
		else {
			return (b);
		}
	}
}