That looks like 10 NiMH C batteries in series. Probably pretty clunky, but if your laptop is meant for 12 (probably even 10.8V) input then I see no reason it wouldn't work. The laptop would think it was running on wall power and drain the battery faster than it normally would, but that's about it.
Most laptops need 16-20VDC power supplies nowadays, though. What laptop do you have?