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>
#include<cstring>
#include<algorithm>
using namespace std;
int GCD(int x,int y)
{
	return y==0?x:GCD(y,x%y);
}
int a,b;
int main()
{
	while(~scanf("%d %d",&a,&b))
	{
		if(a<b)
			swap(a,b);
		printf("%d %d\n",GCD(a,b),a/GCD(a,b)*b);
	}
}