汉诺塔问题

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大一的时候学C语言时,在递归部分讲过汉诺塔问题,但那时只是勉强懂了而已,没有上机实验,在三年后,终于重新拾起了这个问题,并且写了程序跑了跑,不错,感觉挺清楚了。也更加地理解了递归:

现在总结一下:


    要 将柱A的n个盘子通过柱B全部移到柱C:

       步骤可拆分下:
  1.     将柱A上面n-1个盘子通过柱C全部移到柱B;
  2.     将柱A上1的第n个盘子直接移动到C
  3.     将柱B上面n-1个盘子通过柱A全部移到柱C;
完成上面3部就可以完成任务
代码如下:
#include<stdio.h>/*Name: tower of HanoiCopyright: Author: demoseesDate: 22/03/17 22:00Description: transfer n dishes from 1 to 3 via 2 with 1 dish a time.the big dish             must always be under the small;*/void Move(int n,int start,int temp,int goal)/*solved by recursion*/ {/*termination condition*/ if (n==1)                printf("Move disk  %d from %d to %d\n",n,start,goal);else{Move(n-1,start,goal,temp);/*transfer n-1 form 1 to 2 via 3*/printf("Move disk  %d from %d to %d\n",n,start,goal);/*transfer the n"th" from 1 to 3*/ Move(n-1,temp,start,goal);/*transfer n-1 form 2 to 3 via 1*/}}int main(){int n;/*input the number  of dishes*/ scanf("%d",&n); /*call the function*/Move(n,1,2,3);return 0;}


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