a body (10) an elongate flexible strip (20) supporting a plurality of reservoirs (21) each containing a dose of fluid or powder reservoir-opening means (30) for opening a respective reservoir on each actuation first displacement means (40) for causing said flexible strip (20) to advance before and/or during and/or after each actuation, so as to bring a full reservoir into register with said reservoir-opening means and second displacement means (45) for displacing a full reservoir (21) against said opening means (30) each time the device is actuated, the leading end (25) of said flexible strip (20), in the advance direction of said strip, being fastened to a receiver element (50), said receiver element (50) being displaceable, on a path along guide means (100), between a first position that corresponds to the first actuation of the device and a second position that corresponds to the last actuation of the device.