[数据结构与算法]最小的K个数

题目描述
输入n个整数,找出其中最小的K个数。例如输入4,5,1,6,2,7,3,8这8个数字,则最小的4个数字是1,2,3,4,。

#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

class Solution {
    private :
    vector <int>heap;
public:
    vector<int> GetLeastNumbers_Solution(vector<int> input, int k) {
   
        for(int i=0;i<input.size();i++){
             if(i<k){
                 buildMaxHeap(input[i]);
             }
             else if(input[i]<heap[0]){
                 adjustMaxHeap(input[i]);
             }
        }
        sort(heap.begin(),heap.end());
        for (int i=0;i<heap.size();i++){
            cout<<" "<<heap[i];
        }
        cout<<endl;

        return heap;
    }

//创建一个最大堆 用于存放k个最小值
    void buildMaxHeap(int num){
        heap.push_back(num);
        int current_index = heap.size()-1;
        while (current_index!=0){
            int parent_index = (current_index-1)/2;
            if(heap[parent_index]<heap[current_index]){
                int tmp = heap[parent_index];
                heap[parent_index]=heap[current_index];
                heap[current_index]=tmp;
                current_index=parent_index;
                // cout<<" build index:"<<current_index<<endl;
            }
            else{
                break;
            }
        } 
    }

void adjustMaxHeap(int num){
    heap[0]=num;
    int len=heap.size();
    int index=0;
    while(index<len){
        int large_index;
        int left_index=index*2+1;
        int right_index=index*2+2;
        // cout<<" index:"<<index<<endl;
        if(right_index<len){
            if(heap[left_index]<heap[right_index]){
                large_index=right_index;
            }
            else {
                large_index=left_index;
            }
        }
        else if(left_index<len){
            large_index=left_index;
        }
        else{
            break;
        }
        if(heap[index]<heap[large_index]){
            int tmp = heap[large_index];
            heap[large_index]=heap[index];
            heap[index]=tmp;           
        }
        index=large_index;

    }

}

    
};

int main()
{
    vector <int> test{4,5,1,6,2,7,3,8};
    Solution so;
    so.GetLeastNumbers_Solution(test,4);
}
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转载自blog.csdn.net/qinchun/article/details/105479369
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