acm_problem_1012

本文介绍了一种通过编程计算特定形式整数根的方法,利用pow函数解决数学问题,并分享了解题过程中的心得。

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题目描述:

Problem Description
Current work in cryptography involves (among other things) large prime numbers and computing powers of numbers among these primes. Work in this area has resulted in the practical use of results from number theory and other branches of mathematics once considered to be only of theoretical interest.
This problem involves the efficient computation of integer roots of numbers.
Given an integer n>=1 and an integer p>= 1 you have to write a program that determines the n th positive root of p. In this problem, given such integers n and p, p will always be of the form k to the n th. power, for an integer k (this integer is what your program must find).
 

Input
The input consists of a sequence of integer pairs n and p with each integer on a line by itself. For all such pairs 1<=n<= 200, 1<=p<10<sup>101</sup> and there exists an integer k, 1<=k<=10<sup>9</sup> such that k<sup>n</sup> = p.
 

Output
For each integer pair n and p the value k should be printed, i.e., the number k such that k n =p.
 

Sample Input
  
  
2 16 3 27 7 4357186184021382204544
 

Sample Output
  
  
4 3 1234

大意:就是给你两个数让你求前一个数的多少次方是后一个数。。


想法:直接用pow这个函数求就可以。。


代码:

#include <iostream>
#include <math.h>
using namespace std;
int main()
{
    double n,p;
    while(cin>>n>>p)
    {
        int k;
        k=pow(p,1.0/n)+0.5;
        cout<<k<<endl;
    }
}


感想:一开始看到那个好多位的数用整型发现求不出来,后来无意中发现double 可以求。。无语了。。

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