1600: Perfect Pth Powers
内存限制:128 MB
时间限制:1.000 S
评测方式:文本比较
命题人:
提交:27
解决:6
题目描述
We say that x is a perfect square if, for some integer b, x = b2. Similarly, x is a perfect cube if, for some integer b, x = b3. More generally, x is a perfect pth power if, for some integer b, x = bp. Given an integer x you are to determine the largest p such that x is a perfect pth power.
输入
Each test case is given by a line of input containing x. The value of x will have magnitude at least 2 and be within the range of a (32-bit) int in C, C++, and Java. A line containing 0 follows the last test case.
输出
For each test case, output a line giving the largest integer p such that x is a perfect pth power.
样例输入 复制
17
1073741824
25
0
样例输出 复制
1
30
2
提示
仔细研究研究“have magnitude at least 2”的意思