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
#include <stdio.h>
int main(void){
    int a,b,d,n,m;
    while(~scanf("%d%d",&a,&b)){
        n=a,m=b;
        while(b>0)d=a%b,a=b,b=d;
        printf("%d %d\n",a,n/a*m);
    }
    return 0;
}