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.*;import java.util.*;class Main{public static void main(String[]a){for(Scanner s=new Scanner(System.in);s.hasNext();){BigInteger x=s.nextBigInteger(),y=s.nextBigInteger();System.out.println(x.gcd(y)+" "+x.multiply(y).divide(x.gcd(y)));}}}