#include<cstdio>

using namespace std;

int gcd(int a,int b){
	if(!b) return a;
	else return gcd(b,a%b);
}

int main(void){
	int a,b;
	int g;

	for(;scanf("%d%d",&a,&b)==2;){
		g=gcd(a,b);
		printf("%d %d\n",g,a/g*b);
	}

	return 0;
}
### Prompt

Your challenge is to write a cpp solution to 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
#include<cstdio>

using namespace std;

int gcd(int a,int b){
	if(!b) return a;
	else return gcd(b,a%b);
}

int main(void){
	int a,b;
	int g;

	for(;scanf("%d%d",&a,&b)==2;){
		g=gcd(a,b);
		printf("%d %d\n",g,a/g*b);
	}

	return 0;
}
```