The charger should not continue to charge the battery if it is already showing that it is fully charged per the indicator lights. What it means is that the battery is weak, and not properly holding a charge. So, it looks like the battery is a dud, and you should be able to replace it under warranty.
It could be a weak battery. As soon as the trimmer shuts off, push the button on the battery to see if still shows that all the LEDs are lit. If it doesn't, then that's the problem. How old is the battery and how many times has it been charged ?