//AOJ0005
#include<iostream>
using namespace std;

long long gcd(int n,int m){
	if(m==0)return n;
	gcd(m,n%m);
}
int main(){
	long long  n,m;
	while(cin>>n>>m){
		cout<<gcd(n,m)<<" "<<n*m/gcd(n,m)<<endl;
	}
	return 0;
}
### Prompt

In Cpp, your task is to solve the following problem:

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

### Response

```cpp
//AOJ0005
#include<iostream>
using namespace std;

long long gcd(int n,int m){
	if(m==0)return n;
	gcd(m,n%m);
}
int main(){
	long long  n,m;
	while(cin>>n>>m){
		cout<<gcd(n,m)<<" "<<n*m/gcd(n,m)<<endl;
	}
	return 0;
}
```