firstly, get insured. it's not expensive and worth it.
I would find out from your landlady about buildings insurance, as they are flats they should have a general buildings cover. The ceiling will be being damaged by the water. If the land lady is difficult find out who the management company is and see if they can help.
It would be unusual for flat owners to arrange seperate buildings cover.
Please get contents insurance, because , god forbid, if there was a fire and you lost everything how would you replace it? for peace of mind hun.... :-) xx