3 Channel Amp - 1 power supply?

I'm considering the purchase of a 3 channel amp, since the center channel
handles most of the workload when playing a dvd movie, I was thinking
it would it be better to try and find an amp that has only one power supply
for all three channels.
My thought is since the center channel is doing most of the work,
it would utilize the majority of the power while the L&R speakers
can draw power as needed - make any sense?

Or...

Find a 3 channel amp that has a separate power supply for each of the
three channels?

Any amplifier recommendations for either scenario would be greatly
appreciated.

Thank You