/*
roundUp(n, multiple)
--------------------
Rounds the integer n *up* to the nearest multiple of `multiple`.
Mathematically:
result = ceil(n / multiple) * multiple
We use integer arithmetic for efficiency:
(n + multiple - 1) / multiple → smallest integer ≥ n/m
*/
function roundUp(n: number, multiple: number): number {
if (multiple <= 0) {
// Defensive programming: avoid undefined behavior.
// In real-world code, you'd throw or handle this differently.
return n;
}
// Efficient integer rounding up:
return Math.floor((n + multiple - 1) / multiple) * multiple;
}
// main()
console.log("roundUp(53, 20) = " + roundUp(53, 20));
console.log("roundUp(68, 30) = " + roundUp(68, 30));
console.log("roundUp(7, 100) = " + roundUp(7, 100));
console.log("roundUp(119, 100) = " + roundUp(119, 100));
console.log("roundUp(781, 100) = " + roundUp(781, 100));
console.log("roundUp(1026, 100) = " + roundUp(1026, 100));
console.log("roundUp(11689, 1000) = " + roundUp(11689, 1000));
/*
run:
roundUp(53, 20) = 60
roundUp(68, 30) = 90
roundUp(7, 100) = 100
roundUp(119, 100) = 200
roundUp(781, 100) = 800
roundUp(1026, 100) = 1100
roundUp(11689, 1000) = 12000
*/
