If you want to do it with actionscript and not add a stop() to the last frame on the timeline manually, then you can use the undocumented addFrameScript() method.
mc.addFrameScript(mc.totalFrames - 1, function():void
{
mc.stop();
});
Can't remember the scope of the function, but you can either use mc.stop(), or just stop().
*EDIT - Added -1 to the first parameter of addFrameScript, because it is zero based (so to put a frameScript on frame 10 you would put 9).
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