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Understanding the formation of the supermassive black holes (SMBHs) presentin the centers of galaxies is a crucial topic in modern astrophysics.Observations have detected the SMBHs with mass $M$ of $10^{9}\, \rm M_\odot$ inthe high-redshift galaxies with $\rm z\sim7$. However, how SMBHs grew to suchhuge masses within the first billion years after the big bang remains elusive.One possible explanation is that SMBHs grow quickly through the frequentmergers of galaxies, which provides sustainable gas to maintain rapid growth.This study presents the hydrodynamics simulations of the SMBHs' growth withtheir host galaxies using the GIZMO code. In contrast to previous simulations,we have developed a giant molecular cloud (GMC) model by separatingmolecular-gas particles from the atomic-gas particles and then evolving themindependently. During major mergers, we show that the more massive moleculargas particles cloud bear stronger dynamical friction. Consequently, GMCs aresubstantially accreted onto the galactic centers that grow SMBHs from $\sim10^{7}$ $\rm M_\odot$ to $\sim 10^{9}\, \rm M_\odot$ within $300$ Myr,explaining the rapid growth of SMBHs, and this accretion also triggers aviolent starburst at the galactic center. Furthermore, we examine the impact ofminor mergers on the bulge of a Milky-Way-like galaxy and find that the sizeand mass of the bulge can increase from $0.92$ kpc to $1.9$ kpc and from$4.7\times 10^{10}\, \rm M_\odot$ to $7\times 10^{10}\, \rm M_\odot$.

Rapid Growth of Galactic Supermassive Black Holes through Accreting Giant Molecular Clouds during Major Mergers of their Host Galaxies