The most common would be A7 or Amin, D of some sort (7, 9, etc), and an e of some sort, but that is just scratching the surface. Put it this way, any note that you play on a lick can have a chord put over it. If you are trying to put chords to a melody, you can do this: find where the most important notes are, the ones that are stressed the most. Think of any chord that includes that note in it (not any chord that has that note in its key, but a chord that has it in an actual chord triad of position). That is it. There are a hell of a lot of chords you can find. Next, pick the ones that sound good.
Of course, if you want to make it sound like a regular poppy sort of tune, pick chords that are all in the same key, and choose the key that the lick is in.