GCD LCM
Input: standard input
Output: standard output
The GCD of two positive integers is the largest integer that divides both the integers without any remainder. The LCM of two positive integers is the smallest positive integer that is divisible by both the integers. A positive integer can be the GCD of many pairs of numbers. Similarly, it can be the LCM of many pairs of numbers. In this problem, you will be given two positive integers. You have to output a pair of numbers whose GCD is the first number and LCM is the second number.
Input
The first line of input will consist of a positive integer T. T denotes the number of cases. Each of the next T lines will contain two positive integer, G and L.
Output
For each case of input, there will be one line of output. It will contain two positive integers a and b, a ≤ b, which has a GCD of G and LCM of L. In case there is more than one pair satisfying the condition, output the pair for which a is minimized. In case there is no such pair, output -1.
Constraints
- T ≤ 100
Input: standard input
Output: standard output
The GCD of two positive integers is the largest integer that divides both the integers without any remainder. The LCM of two positive integers is the smallest positive integer that is divisible by both the integers. A positive integer can be the GCD of many pairs of numbers. Similarly, it can be the LCM of many pairs of numbers. In this problem, you will be given two positive integers. You have to output a pair of numbers whose GCD is the first number and LCM is the second number.
Input
The first line of input will consist of a positive integer T. T denotes the number of cases. Each of the next T lines will contain two positive integer, G and L.
Output
For each case of input, there will be one line of output. It will contain two positive integers a and b, a ≤ b, which has a GCD of G and LCM of L. In case there is more than one pair satisfying the condition, output the pair for which a is minimized. In case there is no such pair, output -1.
Constraints
- T ≤ 100
- Both G and L will be less than 231.
翻译:
给定两个数G,L求两个数a,b使GCD(a,b)=G,LCM(a,b)=L,并使a最小
纯水,因为a>=G,所以a最小为G,此时b=L
所以L%G!=0则输出-1,否则原样输出
#include <cstdio>
#include <cmath>
int main()
{
int g,l;
int t;
scanf("%d",&t);
for(int iii=0;iii<t;iii++)
{
scanf("%d%d",&g,&l);
if(l%g!=0)
{
printf("-1\n");
continue;
}
printf("%d %d\n",g,l);
}
return 0;
}
GCD与LCM问题解决
本文探讨如何求解给定两个数G和L时,找出满足特定条件的一对数a和b,使得它们的最大公约数等于G,最小公倍数等于L。详细解释了求解过程,并提供了代码实现。
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