I regularly fly from Europe (UK) to USA (MCO) and back again with meds, both in half empty screw top bottles and one a day 'pop' packs. I have never had a problem.
Couple of hints, take double what you need and distribute them so that if you lose them (or have them stolen) you still have a supply. (Baggage handlers once stole my wifes med from out of our suitcases. - we didn't know there was a market for arthritis tablets!!
Also take a prescription form or doctors note with you, so you can get replacement medication if yours is lost or stolen.
Andrew