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 GCD(int a, int b) {while (b) {int c=a;a=b,b=c%b;} return a;}
int main() {int a,b,c;while (scanf("%d %d",&a,&b)!=EOF) {c=GCD(a,b);printf("%d %d\n",c,(a/c)*b);}return 0;}