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 <iostream>
using namespace std;
typedef long long ll;
ll gcd(ll m, ll n){
	while(m!=n)m>n?m-=n:n-=m;
	return m;
}
int main(){
	ll a,b;
	while(cin>>a>>b)cout<<gcd(a,b)<<' '<<a/gcd(a,b)*b<<endl;
}