PAT--1120 Friend Numbers (20 分)

最新推荐文章于 2020-02-15 11:13:32 发布

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本文探讨了朋友数字的概念，即两个整数如果其各位数字之和相同，则被视为朋友数字，该和称为朋友ID。文章提供了一个算法示例，用于统计一组给定整数中不同朋友ID的数量，并按升序输出这些ID。

Two integers are called "friend numbers" if they share the same sum of their digits, and the sum is their "friend ID". For example, 123 and 51 are friend numbers since 1+2+3 = 5+1 = 6, and 6 is their friend ID. Given some numbers, you are supposed to count the number of different frind ID's among them.

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N. Then N positive integers are given in the next line, separated by spaces. All the numbers are less than 104.

Output Specification:

For each case, print in the first line the number of different frind ID's among the given integers. Then in the second line, output the friend ID's in increasing order. The numbers must be separated by exactly one space and there must be no extra space at the end of the line.

Sample Input:

8
123 899 51 998 27 33 36 12

Sample Output:

4
3 6 9 26

代码：

#include <iostream>
#include <bits/stdc++.h>

using namespace std;

int sumNum(int x)
{
    int sum = 0;
    while(x!=0)
    {
        sum+=x%10;
        x = x/10;
    }
    return sum;
}

int main()
{
    int n;
    set<int> out;
    cin>>n;
    int a[n];
    int sum[n];
    for(int i=0; i<n; i++)
    {
        cin>>a[i];
        sum[i] = sumNum(a[i]);
        out.insert(sum[i]);
    }

    cout<<out.size()<<endl;
    for(set<int>::iterator it = out.begin(); it!=out.end(); it++)
    {
        if(it==out.begin())
            cout<<*it;
        else
            cout<<" "<<*it;
    }
    cout<<endl;


}

分析：

直接使用set存储“朋友”（set存储有序且不重复的数），就是访问的时候有点麻烦，set只能使用迭代器进行访问；