Running very high chlorine levels will break the algaecide down faster . . . and help eradicate the algae you were trying to deal with in the first place.

But . . . you need to read the "Best Guess" page linked in my signature, to understand what "really high levels of chlorine" means in practice . . . and then you'll need to read the test kit info page (also in my sig) so you can actually act on that knowledge.