Hi Peter,
I have set up, must be over ten LS3 5A systems. I worked in a high end store when the Rogers was released back in the late 70s.
The LS3 5A is VERY inefficient, like 83 dB/watt @ 1meter. If you are not using subwoofers I would recommend a 200 watt/ch SS class A amp. HOWEVER the only way to use LS3 5As is with stereo subwoofers and a two way crossover, preferably digital. You want to cross at 100 Hz. Taking that bass away from the LS3 5As lowers distortion DRAMATICALLY and increases headroom also dramatically. You can also get away with a smaller amp, a 100 watt class A amp, tube or SS will do fine. I would use a Pass XA100.8. Another great amp would be the Parasound JC 1+