095.奇数平方的有趣性质

  

   

    

     

    
    

     

      #include<stdio.h>
     
    
   

    

     

    
    

     

      void main()
     
    
   

    

     

    
    

     

      {
     
    
   

    

     

    
    

     
    long int a,n=0;
     
    
   

    

     

    
    

     
    clrscr();
     
    
   

    

     

    
    

     
    puts("***********************************************************");
     
    
   

    

     

    
    

     
    puts("* >> This program is to verify << *");   
     
    
   

    

     

    
    

     
    puts("* >> odd number's characteristic. << *");
     
    
   

    

     

    
    

     
    puts("* That is square of an odd number larger than 1000 minus *");
     
    
   

    

     

    
    

     
    puts("* 1 can be divided exactly by 8. *");
     
    
   

    

     

    
    

     
    puts("* For example, 2001^2-1=4004000=500500*8. *");
     
    
   

    

     

    
    

     
    puts("***********************************************************");
     
    
   

    

     

    
    

     
    while(n<1001)
     
    
   

    

     

    
    

     

          {
     
    
   

    

     

    
    

     
    	printf(" >> Please input the range you want to verify: ");
     
    
   

    

     

    
    

     
    	scanf("%ld",&n);
     
    
   

    

     

    
    

     

          }
     
    
   

    

     

    
    

     
    puts(" >> Now start to verify:");
     
    
   

    

     

    
    

     
    for(a=1001;a<=n;a+=2)
     
    
   

    

     

    
    

     

          {
     
    
   

    

     

    
    

     
        printf("%ld:",a);       /*输出奇数本身*/
     
    
   

    

     

    
    

     
        printf("(%ld*%ld-1)/8",a,a);      /*输出(奇数的平方减1)/8*/
     
    
   

    

     

    
    

     
        printf("=%ld",(a*a-1)/8);        /*输出被8除后的商*/
     
    
   

    

     

    
    

     
        printf("+%ld\n",(a*a-1)%8);      /*输出被8除后的余数*/
     
    
   

    

     

    
    

     

          }
     
    
   

    

     

    
    

     
    puts("\n Press any key to quit...");
     
    
   

    

     

    
    

     
    getch();
     
    
   

    

     

    
    

     

      }
     
    
  
 

文章来源: blog.csdn.net，作者：程序员编程指南，版权归原作者所有，如需转载，请联系作者。

原文链接：blog.csdn.net/weixin_41055260/article/details/124558289