If you don't want to use jQuery and want to support older browsers:
function addClass(elem, clazz) {
if (!elemHasClass(elem, clazz)) {
elem.className += " " + clazz;
}
}
function elemHasClass(elem, clazz) {
return new RegExp("( |^)" + clazz + "( |$)").test(elem.className);
}