A valve train includes a a plurality of individual cam sleeves axially displaceable relative to one another and disposed so as to form the camshaft, each of the plurality of individual cam sleeves including a plurality of different cam profiles each having a same base circle portion and being configured to engage, by switching, one of a plurality of gas exchange valves. A switching shaft is disposed inside the plurality of cam sleeves and configured to rotate together with the plurality of cam sleeves. An encircling switching contour is disposed inside each of the plurality of cam sleeves. A switching pin operatively connects one of the plurality of cam sleeves to the switching shaft, the switching pin configured to slide in the encircling switching contour. An actuator is operatively connected to the switching shaft so as to rotate the switching shaft relative to the plurality of cam sleeves.