hdu 1058 Humble Numbers

深碍√TFBOYSˉ_ 2022-05-31 09:24 184阅读 0赞

# Humble Numbers #

**Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)  
Total Submission(s): 28257 Accepted Submission(s): 12450**

Problem Description

A number whose only prime factors are 2,3,5 or 7 is called a humble number. The sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, ... shows the first 20 humble numbers.  
  
Write a program to find and print the nth element in this sequence

Input

The input consists of one or more test cases. Each test case consists of one integer n with 1 <= n <= 5842. Input is terminated by a value of zero (0) for n.

Output

For each test case, print one line saying "The nth humble number is number.". Depending on the value of n, the correct suffix "st", "nd", "rd", or "th" for the ordinal number nth has to be used like it is shown in the sample output.

Sample Input

1 2 3 4 11 12 13 21 22 23 100 1000 5842 0

Sample Output

The 1st humble number is 1. The 2nd humble number is 2. The 3rd humble number is 3. The 4th humble number is 4. The 11th humble number is 12. The 12th humble number is 14. The 13th humble number is 15. The 21st humble number is 28. The 22nd humble number is 30. The 23rd humble number is 32. The 100th humble number is 450. The 1000th humble number is 385875. The 5842nd humble number is 2000000000.

Source

[University of Ulm Local Contest 1996][]

题目解析：

这个题目和丑数的题目非常像，所以我也就没有用什么算法，直接暴力过的，很水的一个题目，下面是代码

代码：

#include <bits/stdc++.h>
    using namespace std;
    const int maxn = 100000;
    long long a[maxn];
    long long ans;
    int main()
    {
        //freopen("in.txt","r",stdin);
        memset(a,0,sizeof(a));
        int cnt = 0;
        for(int i=0; i<35; i++)
            for(int j=0; j<35; j++)
                for(int k=0; k<35; k++)
                    for(int t=0; t<35; t++)
                    {
                        ans = pow(7,i)*pow(5,j)*pow(3,k)*pow(2,t);
                        if(ans>0&&ans<=2000000000)
                            a[cnt++] = ans;
                    }
        sort(a,a+cnt);
        int n;
        while(cin>>n&&n)
        {
            if(n%10==1&&n%100!=11)
                printf("The %dst humble number is %lld.\n",n,a[n-1]);
            else if(n%10==2&&n%100!=12)
                printf("The %dnd humble number is %lld.\n",n,a[n-1]);
            else if(n%10==3&&n%100!=13)
                printf("The %drd humble number is %lld.\n",n,a[n-1]);
            else
                printf("The %dth humble number is %lld.\n",n,a[n-1]);
        }
        return 0;
    }

[University of Ulm Local Contest 1996]: http://acm.hdu.edu.cn/search.php?field=problem&key=University+of+Ulm+Local+Contest+1996&source=1&searchmode=source