POJ-2196 Specialized Four-Digit Numbers-10,12,16进制的各个位数相加彼此相等的数

Specialized Four-Digit Numbers

Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 7636 Accepted: 5559

Description

Find and list all four-digit numbers in decimal notation that have the property that the sum of its four digits equals the sum of its digits when represented in hexadecimal (base 16) notation and also equals the sum of its digits when represented in duodecimal (base 12) notation. 
For example, the number 2991 has the sum of (decimal) digits 2+9+9+1 = 21. Since 2991 = 1*1728 + 8*144 + 9*12 + 3, its duodecimal representation is 1893₁₂, and these digits also sum up to 21. But in hexadecimal 2991 is BAF₁₆, and 11+10+15 = 36, so 2991 should be rejected by your program. 
The next number (2992), however, has digits that sum to 22 in all three representations (including BB0₁₆), so 2992 should be on the listed output. (We don't want decimal numbers with fewer than four digits -- excluding leading zeroes -- so that 2992 is the first correct answer.) 

Input

There is no input for this problem

Output

Your output is to be 2992 and all larger four-digit numbers that satisfy the requirements (in strictly increasing order), each on a separate line with no leading or trailing blanks, ending with a new-line character. There are to be no blank lines in the output. The first few lines of the output are shown below.

Sample Input

There is no input for this problem

Sample Output

29922993299429952996299729982999...

Source

Pacific Northwest 2004

//输出从2992-9999之前满足10,12,16进制的各个位数相加彼此相等的数#include <iostream>#include <stdio.h>#include <cmath>using namespace std;int cal(int n,int b)//参数分别表示要进行计算的数和进制，这个函数用来计算各个位数之和{    int ans=0,a;    a=n;    while(a>0)    {        ans+=(a%b);        a/=b;    }    return ans;}int main(){    int i;    for(i=2992; i<=9999; ++i)        if(cal(i,10)==cal(i,12)&&cal(i,12)==cal(i,16)&&cal(i,10)==cal(i,16))            cout<<i<<endl;    return 0;}