ZOJ Problem Set–1382 A Simple Task

Time Limit: 2 Seconds      Memory Limit: 65536 KB

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Given a positive integer n and the odd integer o and the nonnegative integer p such that n = o2^p.

Example
For n = 24, o = 3 and p = 3.

Task
Write a program which for each data set:

reads a positive integer n,
computes the odd integer o and the nonnegative integer p such that n = o2^p,
writes the result.

Input
The first line of the input contains exactly one positive integer d equal to the number of data sets, 1 <= d <= 10. The data sets follow.
Each data set consists of exactly one line containing exactly one integer n, 1 <= n <= 10^6.

Output
The output should consists of exactly d lines, one line for each data set.

Line i, 1 <= i <= d, corresponds to the i-th input and should contain two integers o and p separated by a single space such that n = o2^p.

Sample Input

1
24

Sample Output

3 3

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Source: Central Europe 2001, Practice

算是一道简单题吧，用表驱动法，先将使用到的2^n打一张表，然后根据表中的数据进行计算就可以了。重点在看清题意，注意O和P的取值范围。代码如下：

#include<iostream>

using namespace std;

const int MAX = 21;

void intialBaseData(int **arr)

{

  **arr = 1;

  int pow = 1;

  for(int i = 1; i < MAX; i++)

  {

    pow *= 2;

    *(*arr + i) = pow;

  }

}

int main()

{

  int *baseArr = new int[MAX];

  intialBaseData(&baseArr);

  int num, digit;cin>>num;

  while(num-- && cin>>digit)

  {

    for(int i = 0; i < MAX; i++)

    {

      if(digit%baseArr[i] == 0 && (digit/baseArr[i])%2 != 0)

      {

        cout<<digit/baseArr[i]<<""<<i;

        break;

      }

    }

    cout<<endl;

  }

  delete []baseArr;

  return 0;

}