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.math.BigInteger;
import java.util.Scanner;

class Main {
    public static void main(String args[]) {
        Scanner sc = new Scanner(System.in);

        while (sc.hasNext()) {
            BigInteger a = sc.nextBigInteger();
            BigInteger b = sc.nextBigInteger();

            BigInteger gcd = a.gcd(b);
            BigInteger lcm = a.multiply(b).divide(gcd);
            System.out.println(gcd + " " + lcm);
        }
    }
}