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>
long long gcd(long long a,long long b)
{
	if(b==0LL)
		return a;
	return gcd(b,a%b);
}
int main()
{
	long long a,b;
	while(~scanf("%lld%lld",&a,&b))
	{
		long long d=gcd(a,b);
		printf("%lld %lld\n",d,a/d*b);
	}
	return 0;
}