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 gcd(int a,int b) {
	return b?gcd(b,a%b):a;
}
int lcm(int a,int b,int gcd) {
	return a/gcd*b;
}
int main() {
	int a,b,g;
	while(scanf("%d %d",&a,&b)!=EOF) {
		g=gcd(a,b);
		printf("%d %d\n",g,lcm(a,b,g));
	}
}