How long has the leak been there?

If the leak has been fixed for several days already and the ceiling still looks like that then you are going to need to stain seal those particular areas and paint the entire ceiling

If those water marks are still actually wet then let them dry. Once dry, if they arent too bad the easiest solution would be to get more premixed drywall ceiling mud, add water to mix and stir until the drywall mud is more like the consistency of paint, and then apply several layers of the drywall mud/paint to the affected areas.