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>
#include<math.h>

int main()

{
	unsigned int a,b;
	while(~scanf("%u%u",&a,&b)){
	    
		unsigned int c=a,d=b;
		while(a>0&&b>0){
			if(a>b)a=a%b;
			else b=b%a;
		}
		printf("%u %u\n",a+b,c/(a+b)*d);
		
	}
	
	return 0;
}
