Gravitational collapse of the cylindrical elongated cloud is studied b
y numerical magnetohydrodynamical simulations. In the infinitely long
cloud in hydrostatic configuration, small perturbation grow by the gra
vitational instability. The most unstable mode indicated by a linear p
erturbation theory grows selectively even from a white noise. The grow
th rate agrees with that calculated by the linear theory. First, the d
ensity-enhanced region has an elongated shape, i.e., prolate spheroida
l shape. As the collapse proceeds, the high-density fragment begins to
contrast mainly along the symmetry axis. Finally, a spherical core is
formed in the nonmagnetized cloud. In contrast, an oblate spheroidal
dense disk is formed in a cloud in which the magnetic pressure is near
ly equal to the thermal one. The radial size of the disk becomes propo
rtional to the initial characteristic density scale height in the r-di
rection. As the collapse proceeds, a slowly contracting dense part is
formed (less-than-or-similar-to 10% in mass), which is separated from
the other part of the disk in which the inflow velocity is accelerated
as it reaches the slowly contracting dense part. On the basis of argu
ments on the Jeans mass and the magnetic critical mass, the evolution
of the fragments formed in a cylindrical elongated cloud is classified
. When the cloud reaches a cylindrical, magnetohydrostatic configurati
on, if the plasma beta (the ratio of thermal pressure to the magnetic
pressure) in the center of the cloud is at least larger than greater-t
han-or-similar-to 0.02, the formed disks cannot be supported against t
he self-gravity, and it will eventually collapse. If the cylindrical c
loud is supported mainly by the magnetic fields, beta less-than-or-sim
ilar-to 0.02, the cloud seems to be fragmented to stable disks.