We investigated the core structure of radiatively cooling intracluster gas using a hydrodynamics code. We calculated the evolution of model clusters of the initial core radii, 160-300kpc, until the initial central cooling time, and analyzed the resultant clusters using double P-model, as was done by observational studies. It was found that the thus-obtained core-size distribution shows two peaks at similar to 30-100 kpc and similar to 100-300 kpc, and can marginally reproduce the observed distribution, which exhibits two distinct peaks at around 50kpc and similar to 200kpc. This result may suggest a radiative-cooling origin for small cores, while cooling is still insignificant in clusters of large cores. It should be noted that the small core peak is reproduced by clusters that are still keeping quasi-hydro static balance before the initial central cooling time has elapsed.