Created
April 20, 2019 20:36
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#include <bits/stdc++.h> | |
using namespace std; | |
int m, a, b; | |
typedef long long ll; | |
int cnt = 0; | |
ll ans = 0; | |
int mx = 0; | |
const int MAXN = 100100; | |
bool vis[MAXN]; | |
void bfs() { | |
int cur = 0; | |
while (!vis[cur]) { | |
vis[cur] = true; | |
if (cur > m) { | |
ans += ll(m - mx) * cnt; | |
break; | |
} | |
if (cur > mx) { | |
ans += ll(cur - mx) * cnt; | |
mx = cur; | |
} | |
++cnt; | |
if (cur >= b) cur -= b; | |
else cur += a; | |
} | |
} | |
int gg(int a, int b) { | |
if (a == 0) return b; | |
return gg(b % a, a); | |
} | |
int main() { | |
cin >> m >> a >> b; | |
bfs(); | |
int g = gg(a, b); | |
for(int i = 0; i < a; i += g) { | |
ll first = mx - mx % a + i; | |
if (first < mx) first += a; | |
ll last = m - m % a + i; | |
if (last > m) last -= a; | |
ll lo = first / a + 1; | |
ll hi = last / a; | |
ans += (lo - 1) * (first - mx); // [mx, first): lo - 1 | |
ans += a * ((lo + hi) * (hi - lo + 1)) / 2; // [first, last): lo...hi | |
ans += (m - last + 1) * hi; // [last, m]: hi+1 | |
} | |
cout << ans << "\n"; | |
} | |
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