RosettaCodeData/Task/Modular-inverse/Java/modular-inverse-2.java

23 lines
644 B
Java

public final class ModularInverse {
public static void main(String[] aArgs) {
System.out.println(inverseModulus(42, 2017));
}
private static Egcd extendedGCD(int aOne, int aTwo) {
if ( aOne == 0 ) {
return new Egcd(aTwo, 0, 1);
}
Egcd value = extendedGCD(aTwo % aOne, aOne);
return new Egcd(value.aG, value.aY - ( aTwo / aOne ) * value.aX, value.aX);
}
private static int inverseModulus(int aNumber, int aModulus) {
Egcd value = extendedGCD(aNumber, aModulus);
return ( value.aG == 1 ) ? ( value.aX + aModulus ) % aModulus : 0;
}
private static record Egcd(int aG, int aX, int aY) {}
}