Farmer Bill's Problem

Time Limit: 1000msMemory Limit: 32768KB 64-bit integer IO format: %I64d Java class name: Main
Submit Status PID: 24433
Peter has n cigarettes. He smokes them one by one keeping all the butts. Out of k > 1 butts he can roll a new cigarette.

How many cigarettes can Peter have?

Input
Input is a sequence of lines. Each line contains two integer numbers giving the values of n and k.

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

Sample Input
4 3
10 3
100 5
Sample Output
5
14
124

我感觉这题很是变态，我想了好长时间，都没想出什么意思，真的崩溃了

这里写代码片这题我也是想了很长时间，还是做题少吧 1. 列表内容----#include <iostream>  using namespace std;  int main()  {      int n,k;      int sum;      while(cin>>n>>k)      {          sum=n;          while(n>=k)          {              sum+=n/k;              n=n/k+n%k;          }          cout<<sum<<endl;      }      return 0;  }