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package class29;
public class Problem_0062_UniquePaths {
// m 行
// n 列
// 下m-1
// 右n-1
public static int uniquePaths(int m, int n) {
int right = n - 1;
int all = m + n - 2;
long o1 = 1;
long o2 = 1;
// o1乘进去的个数 一定等于 o2乘进去的个数
for (int i = right + 1, j = 1; i <= all; i++, j++) {
o1 *= i;
o2 *= j;
long gcd = gcd(o1, o2);
o1 /= gcd;
o2 /= gcd;
}
return (int) o1;
}
// 调用的时候请保证初次调用时m和n都不为0
public static long gcd(long m, long n) {
return n == 0 ? m : gcd(n, m % n);
}
}