Live with it? don't be daft, it's just brake dust - a common, minor problem that occurs now and then, especially with new brake pads.
If you want to do it properly you strip'em down and clean out the dust in the caliper and from the surface of the brake pads. Alternatively go the jet wash and give the calipers and spaces around them a good power wash - you'll see loads of black water - the dust - coming out and it does no harm to your brakes.
Remember to brake gently to dry them off before hitting the roads.