40 lines
1015 B
JavaScript
40 lines
1015 B
JavaScript
function Euclid_gcd(a, b) {
|
|
a = +a;
|
|
b = +b;
|
|
if (a !== a || b !== b) {
|
|
return [NaN, NaN, NaN];
|
|
}
|
|
|
|
if (a === Infinity || a === -Infinity || b === Infinity || b === -Infinity) {
|
|
return [Infinity, Infinity, Infinity];
|
|
}
|
|
// Checks if a or b are decimals
|
|
if ((a % 1 !== 0) || (b % 1 !== 0)) {
|
|
return false;
|
|
}
|
|
var signX = (a < 0) ? -1 : 1,
|
|
signY = (b < 0) ? -1 : 1,
|
|
x = 0,
|
|
y = 1,
|
|
u = 1,
|
|
v = 0,
|
|
q, r, m, n;
|
|
a = Math.abs(a);
|
|
b = Math.abs(b);
|
|
|
|
while (a !== 0) {
|
|
q = Math.floor(b / a);
|
|
r = b % a;
|
|
m = x - u * q;
|
|
n = y - v * q;
|
|
b = a;
|
|
a = r;
|
|
x = u;
|
|
y = v;
|
|
u = m;
|
|
v = n;
|
|
}
|
|
return [b, signX * x, signY * y];
|
|
}
|
|
|
|
console.log(Euclid_gcd(17, 4));
|