Under cabinet led strip lighting connected to light switch

[HarjinderN]

Hi, I have replaced some under cabinet kitchen tube lamps with LED ones. I followed the same layout and just replaced the lights. Each light (4 in total) is wired to its own fuse box and operated by the kitchen light switch on the wall. As well as each light being connected to a fuse box there is also a wire that connects between the 1st and 2nd fuse box. Without this wire (I removed it because we had kitchen cabinets changed) when the light is switched on only the 1st light illuminates. It seems this wire allows all the lights to come on. I was wondering, given that the LED lights can be connected together (they have a male connector one end and female on other) is there another way to get all the lights to come on without this additional wire? Many thanks