cigarettes

cigarettes

时间限制：3000 ms  |  内存限制：65535 KB

难度：2

描述

Tom has many cigarettes. We hypothesized that he has n cigarettes and smokes them

one by one keeping all the butts. Out of k > 1 butts he can roll a new cigarette.
Now，do you know how many cigarettes can Tom has?

输入

First input is a single line,it's n and stands for there are n testdata.then there are n lines ,each line contains two integer numbers giving the values of n and k.

输出

For each line of input, output one integer number on a separate line giving the maximum number of cigarettes that Peter can have.

样例输入

3
4 3
10 3
100 5

样例输出

            5
            14
            124

题意其实很简单，主要是k根烟头可以换一根烟，其最多吸几根烟

我AC代码，很好理解

#include<stdio.h>
int main()
{
	int m,n,i,j,k;
	scanf("%d",&m);
	for(i=0;i<m;i++)
	{
		scanf("%d%d",&n,&k);
		for(j=1;j<=n;j++)
		{
			if(j%k==0)
				n++;
		}
		printf("%d\n",n);
	}		
	return 0;
}

优秀代码如下，其实当时刚看时有些困惑

#include<stdio.h>
int main()
{
	int m;
	scanf("%d",&m);
    while(m--)
	{
		int n,k,sum;
		scanf("%d%d",&n,&k);
		sum=n;
		while(n/k)                   
		{ 
			sum+=n/k;  
			n=n/k+n%k; 
		}
		printf("%d\n",sum);
	}
	return 0;
}