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
//计算抽了多少支烟
//n-现有烟头数目
//k-k个烟头可以抽1支烟
static int calCigarettes(int n,int k);
int main()
{
int readLen = 0;
scanf("%d",&readLen);
getchar();
while(readLen > 0)
{
int n = 0;
int k = 0;
scanf("%d %d",&n,&k);
getchar();
printf("%d\n",calCigarettes(n,k));
--readLen;
}
return 0;
}
//计算抽了多少支烟
//n-现有烟头数目
//k-k个烟头可以抽1支烟
static int calCigarettes(int n,int k)
{
if(n<k || k<=1)
return n;
//已经抽了n支烟
int result = n;
do
{
//烟头中可以抽取k支烟
int addCigaretCount = n / k;
n = n % k + addCigaretCount;
result += addCigaretCount;
}while(n >= k);//剩余烟头和k对比，相等也需要进行
return result;
}