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C语言算法之归并排序代码

OC/C/C++ 水墨上仙 2375次浏览

C语言算法之归并排序代码

一、算法实现

归并排序的时间复杂度为O(nlgn),其代码实现如下:

int merge_sort(int *array, int min, int max)  
{  
    int mid = (min+max)/2;  
  
    if(max <= min) return 0;  
  
    merge_sort(array, min, mid);  
    merge_sort(array, mid+1, max);  
  
    merge(array, min, mid, max);  
  
    return 0;  
}  

int&nbspmerge(int&nbsp*array,&nbspint&nbspmin,&nbspint&nbspmid,&nbspint&nbspmax)&nbsp&nbsp
{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspint&nbspi=0,&nbspj=0,&nbspidx=0;&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspint&nbsplnum&nbsp=&nbspmid-min+1,&nbsprnum&nbsp=&nbspmax-mid;&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspchar&nbsp*L=NULL,&nbsp*R=NULL;&nbsp&nbsp
&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspL&nbsp=&nbspcalloc(1,&nbsplnum*sizeof(int));&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspif(NULL&nbsp==&nbspL)&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspreturn&nbsp-1;&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspR&nbsp=&nbspcalloc(1,&nbsprnum*sizeof(int));&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspif(NULL&nbsp==&nbspR)&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspreturn&nbsp-1;&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp/*&nbspSet&nbspL&nbspand&nbspR&nbsparray&nbsp*/&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspfor(i=0;&nbspi&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspL[i]&nbsp=&nbsparray[min+i];&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspfor(j=0;&nbspj&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspR[j]&nbsp=&nbsparray[mid+1+j];&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp/*&nbspSort&nbsp*/&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspi&nbsp=&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspj&nbsp=&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspidx&nbsp=&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspwhile(i&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspif(L[i]&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsparray[idx++]&nbsp=&nbspL[i++];&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspelse&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsparray[idx++]&nbsp=&nbspR[j++];&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspif(i&nbsp&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspfor(;&nbspi&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsparray[idx++]&nbsp=&nbspL[i];&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspelse&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbspfor(;&nbspj&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp{&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsparray[idx++]&nbsp=&nbspR[j];&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp&nbsp&nbsp}&nbsp&nbsp
&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspfree(L),&nbspL=NULL;&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspfree(R),&nbspR=NULL;&nbsp&nbsp
&nbsp&nbsp&nbsp&nbspreturn&nbsp&nbsp
}&nbsp&nbsp

{–二、函数调用

#define ARRAY_NUM (10)  
  
int main(int argc, void *argv[])  
{  
    int idx=0;  
    int array[ARRAY_NUM] = {0, 9, 8, 7, 6, 5, 4, 3, 2, 1};  
  
    merge_sort(array, 0, ARRAY_NUM-1);  
  
    for(idx=0; idx<ARRAY_NUM; idx++)  
    {  
        fprintf(stdout, "array[%d] = %d\n", idx, array[idx]);  
    }  
  
    return 0;  
}  


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