Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

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.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C++ (judge verdict: Time Limit Exceeded)

#include <iostream>
using namespace std;

int main() {
	int a,b,c;
	while(cin>>a>>b){
		int g=0,l=0;
		if(a<b){
			c=b;
			b=a;
			a=c;
		}
		while(1){
			int i=1;
			if((i*a)%b==0){
				g=i*a;
			}
			if(g==i*a) break;
			i=i+1;
		}
		
		cout<<a*b/g<<" "<<g<<endl;
	}
	return 0;
}