Who said Frankly my dear I don't give a damn?

Clark Gable said it in Gone with the Wind.

That's correct for the Hollywood mind-set, but what his script SHOULD have said was..."I don't give a dam..." It goes back to the days of the Indian Raj, where a 'dam' was a very low-value Indian copper coin.

http://en.wikipedia.org/wiki/Dam_%28Indian_coin%29