如何为Axes3D.scatter的图例添加颜色

import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.set_title('Scatter Plot with Legend')
ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Z')

x = [1, 2, 3, 4, 5]
y = [2, 4, 6, 8, 10]
z = [3, 6, 9, 12, 15]
colors = ['red', 'green', 'blue', 'yellow', 'orange']

scatter = ax.scatter(x, y, z, c=colors)

legend_elements = scatter.legend_elements()
ax.legend(legend_elements[0], legend_elements[1], title='Colors')

plt.show()