My first batch had no temperature control, and fermented around 78*. Airlock activity slowed way down and the krausen fell back in after a few days- maybe 3 tops. I left it in the carboy for a total of just over 2 weeks before bottling (3 straight gravity readings were the same over 5 days). It's been bottle conditioning for 2 weeks now. I had one test beer at a week, and 4 more (one for me, and one for each of my road-tripping to a football game tailgating companions) at a week and a half. Beer tasted great, with a slightly "hot" taste. That seemed to have lessened between the two tastings, though.
Long(ish) story short. You'll be fine, but you'll probably want to at least get a swamp cooler setup going for your next batch. I did mine from an extra rubber storage tub we had in the garage. No cost at all!!