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 scan = new Scanner(System.in);
	long a, b, lcm, gcd;
	String[] input;
	while (scan.hasNext()){
	    input = scan.nextLine().split(" ");
	    a = Integer.parseInt(input[0]);
	    b = Integer.parseInt(input[1]);
	    lcm = solveLCM(a, b);
	    gcd = solveGCD(a, b);
	    System.out.println(gcd + " " + lcm);
	}
    }
    static long solveGCD (long a, long b) {
	long gcd = a % b;
	if (gcd == 0) {
	    return b;
	}
	return solveGCD(b, gcd);
    }

    static long solveLCM (long a, long b) {
	if (a == 0 || b == 0) {
	    return 0;
	}
	return a * b / solveGCD(a,b);
    }
}