poj 2509 Peter's smokes

http://poj.org/problem?id=2509

Peter's smokes

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 16957		Accepted: 6984

Description

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

Source

The UofA Local 2000.10.14

 

 

分析：

这道题没有可以“先借后还”的要求，所以要最后判断结果即可。

 

 

AC代码：

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