HDOJ 1058Humble Numbers

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.
    
    
    
    
    
    
    
    

     
     
     
     题解：可以用打表的思路去做，首先可以用一个不追求效率的程序来生成这些数据，之后的解题程序直接使用数据就好了
    
    
    
    
    
    
    
    

     
     
     
     
     
     
     
     
//
//  main.cpp
//  Humble Numbers
//
//  Created by 张嘉韬 on 16/3/15.
//  Copyright © 2016年 张嘉韬. All rights reserved.
//

#include <iostream>
#include <cstring>
#include <algorithm>
#include <cmath>
using namespace std;
long long  const maxn=2000000000;
int cmp(const void *a,const void *b)
{
    return *(long long *)a>*(long long *)b?1:-1;
}
int cul(int a)
{
    int counter=0;
    long long temp=1;
    while(temp<maxn)
    {
        temp=temp*a;
        counter++;
    }
    return counter;
}
int main(int argc, const char * argv[]) {
    long long a[999999];
    int k2,k3,k5,k7,counter=0;
    k2=cul(2);
    k3=cul(3);
    k5=cul(5);
    k7=cul(7);
    cout<<k2<<" "<<k3<<" "<<k5<<" "<<k7<<endl;// 31 20 14 12
    for(int c2=0;c2<=k2;c2++)
    {
        for(int c3=0;c3<=k3;c3++)
        {
            for(int c5=0;c5<=k5;c5++)
            {
                for(int c7=0;c7<=k7;c7++)
                {
                    long long temp;
                    temp=pow(2,c2)*pow(3,c3)*pow(5,c5)*pow(7,c7);
                    if(temp<maxn)
                    {
                        a[counter]=temp;
                        counter++;
                    }
                }
            }
        }
    }
    counter++;
    qsort(a,counter,sizeof(a[0]),cmp);
    for(int i=0;i<counter;i++) if(a[i]>=0)cout<<a[i]<<",";
    cout<<endl;
    cout<<counter;
    return 0;
}

     
     
     
     

     
     
     
     

    
    
    
    

#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<cstring>
using namespace std;
int a[]={
    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};
int main()
{
    int n, t;
    while( scanf("%d", &n)!=EOF && n )
    {
        t=n%100/10;
        if( t==1 ) { printf("The %dth humble number is %d.\n", n, a[n]); continue; }
        switch( n%10 )
        {
            //case 0: printf("The %dnd humble number is %d.\n", n, a[n]); break;
            case 1: printf("The %dst humble number is %d.\n", n, a[n]); break;
            case 2: printf("The %dnd humble number is %d.\n", n, a[n]); break;
            case 3: printf("The %drd humble number is %d.\n", n, a[n]); break;
            default: printf("The %dth humble number is %d.\n", n, a[n]); break;
        }
    }
    return 0;
}