埃及分数 把一个分数分解成n个 m分之一的形式
#include <stdio.h>int main(void){int a,b,c;while(scanf("%d/%d",&a,&b)!=EOF){// printf("%d/%d=",a,b);while(a!=1){c = b/a+1;a = a*c-b;b = b*c;printf("1/%d + ",c);//if(a>1)//printf("");if( (b % a == 0) || (a==1) ){printf("1/%d",b/a);a = 1;}}printf("\n");}return 0;}
或者下面的#include<stdio.h>int main(){long long a,b,c;while(scanf("%lld/%lld",&a,&b)!=EOF){//printf("Please enter a optional fraction(a/b):");//; /*输入分子a和分母b*///printf("It can be decomposed to:");while(1){if(b%a) /*若分子不能整除分母*/c=b/a+1; /*则分解出一个分母为b/a+1的埃及分数*/else{ c=b/a; a=1;} /*否则,输出化简后的真分数(埃及分数)*/if(a==1){printf("1/%lld\n",c);break; /*a为1标志结束*/}elseprintf("1/%lld + ",c);a=a*c-b; /*求出余数的分子*/b=b*c; /*求出余数的分母*/if(a==3) /*若余数为3,输出最后两个埃及分数*/{ printf("1/%lld + 1/%lld\n",b/2,b); break;}}}return 0;}
Time Limit: 1000MS Memory Limit: 65535KBSubmissions: 95 Accepted: 35