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<cstdio>
int main(void){
  int a0,a,b0,b,r;
  while(scanf("%d %d",&a,&b)!=EOF){
    b0=b;
    a0=a;
    r=a%b;
    while(r!=0){
      a=b;
      b=r;
      r=a%b;
    }
    printf("%d %d\n",b,(a0/b)*b0);
  }
  return 0;
}