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Task/Least-common-multiple/Sparkling/least-common-multiple.sparkling

@@ -0,0 +1,33 @@
+function factors(n) {
+	var f = {};
+
+	for var i = 2; n > 1; i++ {
+		while n % i == 0 {
+			n /= i;
+			f[i] = f[i] != nil ? f[i] + 1 : 1;
+		}
+	}
+
+	return f;
+}
+
+function GCD(n, k) {
+	let f1 = factors(n);
+	let f2 = factors(k);
+
+	let fs = map(f1, function(factor, multiplicity) {
+		let m = f2[factor];
+		return m == nil ? 0 : min(m, multiplicity);
+	});
+
+	let rfs = {};
+	foreach(fs, function(k, v) {
+		rfs[sizeof rfs] = pow(k, v);
+	});
+
+	return reduce(rfs, 1, function(x, y) { return x * y; });
+}
+
+function LCM(n, k) {
+	return n * k / GCD(n, k);
+}