Depending on what kind of VOM you are using, and what type of output the inverter is producing you can get less than accurate readings. An ossciloscope would be your best bet.
Depending on design and cost.. you can get everything from square wav, modified square wave ( stepped ) modified sine, or true sine wave output.
Depending on what type of power supply your laptop uses, there may be no ill effects. Say for instance.. the laptop used a regular ac transformer and drifge/filter .. just about any output would be fine... that square wave ill be worked over by coil inductance and smooth it quite a bit.. won't matter by the time the wavefrom gets flopped and filtered. Average power will probably be -worst- with straight square wave..
A power supply using triacs , depending on how well built will work decent with modified sine or sine wave.. but will also be very tolerant of low voltage. On the test bench, using a variac xformer.. I've fed 90vac line feed to some switching power supplies with very little effect to operational abilities of the computer...
What type power supply is it? Is it possible to just use a regulated dc to dc adapter? ( what voltage does it use? )
Soundguy