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.*;

public class Main{
   public static void main(String[] args) {
	  Scanner sc =new Scanner(System.in);
int a,b;
while(sc.hasNext()){
int n1=sc.nextInt();
int n2=sc.nextInt();
a=Math.max(n1,n2);
b=Math.min(n1,n2);
for(;;){
a =a%b;
if(a==0)break;
int temp=b;
b=a;
a=temp;
}
System.out.println(b+" "+(long)n1*n2/b);
   }
   }
}