Decimal To Fraction 小数转换成分数

以0.25为例, 0.25 * 100 = 25, 求25 和 100 的最大公约数gcd. 25/gcd 为分子. 100/gcd为分母.

 1 //小数转分数
 2 //0.3 -> 3/10, 0.25 -> 1/4
 3 public class dicimalToFraction{
 4     public static void main(String [] args){
 5         double a = 0.3;
 6         double b = 0.25;
 7         System.out.println(dicimalToFraction(a));
 8         System.out.println(dicimalToFraction(b));
 9     }
10 
11     public static String dicimalToFraction(double num){
12         int count = 0;
13         int base = 10;
14         while(num != Math.floor(num)){
15             num *= base;
16             count++;
17         }
18 
19         base = (int)Math.pow(base,count);
20         int nor = (int)num;
21         int gcd = findGCD(nor, base);
22 
23 
24         return String.valueOf(nor/gcd) + "/" + String.valueOf(base/gcd);
25     }
26 
27 
28     //求最大公约数
29     private static int findGCD(int a, int b){
30         if(a == 0){
31             return b;
32         }
33         return findGCD(b%a, a);
34     }
35 
36 }

与Fraction to Recurring Decimal类似.

posted @ 2016-03-09 07:31  Dylan_Java_NYC  阅读(1575)  评论(0)  编辑  收藏  举报