Created
October 29, 2019 22:58
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import java.math.BigInteger; | |
import java.util.Scanner; | |
public class RationalRatio { | |
public static void main(String[] args) { | |
Scanner sc = new Scanner(System.in); | |
String[] s = sc.nextLine().split(" "); | |
int repeating_digits = Integer.parseInt(s[1]); | |
String[] split = s[0].split("\\."); | |
int diff = split[1].length() - repeating_digits; | |
BigInteger numerator = new BigInteger(split[0] + split[1]); | |
StringBuilder sub = new StringBuilder(split[0]); | |
for (int i = 0; i < diff; i++) { | |
sub.append(split[1].charAt(i)); | |
} | |
numerator = numerator.subtract(new BigInteger(sub.toString())); | |
StringBuilder sb = new StringBuilder("1"); | |
for (int i = 0; i < split[1].length(); i++) { | |
sb.append("0"); | |
} | |
StringBuilder temp = new StringBuilder("1"); | |
for (int i = 0; i < diff; i++) { | |
temp.append("0"); | |
} | |
BigInteger dem = new BigInteger(sb.toString()); | |
dem = dem.subtract(new BigInteger(temp.toString())); | |
while (gcd(numerator, dem) != 1) { | |
long gcd = gcd(numerator, dem); | |
numerator = numerator.divide(new BigInteger(String.valueOf(gcd))); | |
dem = dem.divide(new BigInteger(String.valueOf(gcd))); | |
} | |
System.out.println(String.format("%d/%d", numerator, dem)); | |
} | |
public static int gcd(BigInteger a, BigInteger b) { | |
BigInteger gcd = a.gcd(b); | |
return gcd.intValue(); | |
} | |
} |
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