1. An image capture apparatus comprising: an image capturing unit; a first image capture controller configured to control the image capturing unit to sequentially capture a set of a plurality of images in a shorter exposure time that is shorter than an appropriate exposure time, in a longer exposure time that is longer than the appropriate exposure time, and in the appropriate exposure time; a second image capture controller configured to control the first image capture controller to perform capturing of the set of the images for a plurality of times to obtain a plurality of sets of the images; a selector configured to perform image alignment on the images contained in each of the sets and evaluate results of the image alignment, and to select one of the sets most highly evaluated as a selected set; an addition combination section configured to perform addition combination on the images contained in the selected set, to generate a combined image; and a storage configured to store the combined image.